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Finding the Third Proportional to 99,421,108,764 and 218,090,656,200

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Solution

The third proportional to 99,421,108,764 and 218,090,656,200 is: 478,404,786,599.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,421,108,764 : 218,090,656,200 = 218,090,656,200 : x
  2. Step 2: Convert to fraction form
    99,421,108,764/218,090,656,200 = 218,090,656,200/x
  3. Step 3: Cross multiply
    99,421,108,764x = 218,090,656,200 × 218,090,656,200
  4. Step 4: Simplify right side
    99,421,108,764x = 47,563,534,321,746,597,380,096
  5. Step 5: Solve for x
    x = 47,563,534,321,746,597,380,096/99,421,108,764
  6. Step 6: Final answer
    x = 478,404,786,599.70

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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.