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Finding the Third Proportional to 42,155,668.50 and 97,584,294

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Solution

The third proportional to 42,155,668.50 and 97,584,294 is: 225,893,569.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,155,668.50 : 97,584,294 = 97,584,294 : x
  2. Step 2: Convert to fraction form
    42,155,668.50/97,584,294 = 97,584,294/x
  3. Step 3: Cross multiply
    42,155,668.50x = 97,584,294 × 97,584,294
  4. Step 4: Simplify right side
    42,155,668.50x = 9,522,694,435,478,436
  5. Step 5: Solve for x
    x = 9,522,694,435,478,436/42,155,668.50
  6. Step 6: Final answer
    x = 225,893,569.58

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.