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Finding the Third Proportional to 42,503,478,327 and 93,013,680,294

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Solution

The third proportional to 42,503,478,327 and 93,013,680,294 is: 203,549,099,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,503,478,327 : 93,013,680,294 = 93,013,680,294 : x
  2. Step 2: Convert to fraction form
    42,503,478,327/93,013,680,294 = 93,013,680,294/x
  3. Step 3: Cross multiply
    42,503,478,327x = 93,013,680,294 × 93,013,680,294
  4. Step 4: Simplify right side
    42,503,478,327x = 8,651,544,721,834,444,324,864
  5. Step 5: Solve for x
    x = 8,651,544,721,834,444,324,864/42,503,478,327
  6. Step 6: Final answer
    x = 203,549,099,094.29

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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.