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Finding the Third Proportional to 99,421,108,600.50 and 218,090,655,906.76

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Solution

The third proportional to 99,421,108,600.50 and 218,090,655,906.76 is: 478,404,786,099.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,421,108,600.50 : 218,090,655,906.76 = 218,090,655,906.76 : x
  2. Step 2: Convert to fraction form
    99,421,108,600.50/218,090,655,906.76 = 218,090,655,906.76/x
  3. Step 3: Cross multiply
    99,421,108,600.50x = 218,090,655,906.76 × 218,090,655,906.76
  4. Step 4: Simplify right side
    99,421,108,600.50x = 47,563,534,193,840,793,583,616
  5. Step 5: Solve for x
    x = 47,563,534,193,840,793,583,616/99,421,108,600.50
  6. Step 6: Final answer
    x = 478,404,786,099.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.