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Finding the Third Proportional to 42,001.45 and 90,688.78

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Solution

The third proportional to 42,001.45 and 90,688.78 is: 195,813.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,001.45 : 90,688.78 = 90,688.78 : x
  2. Step 2: Convert to fraction form
    42,001.45/90,688.78 = 90,688.78/x
  3. Step 3: Cross multiply
    42,001.45x = 90,688.78 × 90,688.78
  4. Step 4: Simplify right side
    42,001.45x = 8,224,455,044.61
  5. Step 5: Solve for x
    x = 8,224,455,044.61/42,001.45
  6. Step 6: Final answer
    x = 195,813.58

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