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Finding the Third Proportional to 44,342 and 97,298

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Solution

The third proportional to 44,342 and 97,298 is: 213,497.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,342 : 97,298 = 97,298 : x
  2. Step 2: Convert to fraction form
    44,342/97,298 = 97,298/x
  3. Step 3: Cross multiply
    44,342x = 97,298 × 97,298
  4. Step 4: Simplify right side
    44,342x = 9,466,900,804
  5. Step 5: Solve for x
    x = 9,466,900,804/44,342
  6. Step 6: Final answer
    x = 213,497.38

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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.