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Finding the Third Proportional to 89,769,507 and 193,887,894

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Solution

The third proportional to 89,769,507 and 193,887,894 is: 418,767,092.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,769,507 : 193,887,894 = 193,887,894 : x
  2. Step 2: Convert to fraction form
    89,769,507/193,887,894 = 193,887,894/x
  3. Step 3: Cross multiply
    89,769,507x = 193,887,894 × 193,887,894
  4. Step 4: Simplify right side
    89,769,507x = 37,592,515,439,755,232
  5. Step 5: Solve for x
    x = 37,592,515,439,755,232/89,769,507
  6. Step 6: Final answer
    x = 418,767,092.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.