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Finding the Third Proportional to 96,655.78 and 212,365.13

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Solution

The third proportional to 96,655.78 and 212,365.13 is: 466,593.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,655.78 : 212,365.13 = 212,365.13 : x
  2. Step 2: Convert to fraction form
    96,655.78/212,365.13 = 212,365.13/x
  3. Step 3: Cross multiply
    96,655.78x = 212,365.13 × 212,365.13
  4. Step 4: Simplify right side
    96,655.78x = 45,098,946,316.27
  5. Step 5: Solve for x
    x = 45,098,946,316.27/96,655.78
  6. Step 6: Final answer
    x = 466,593.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.