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Finding the Third Proportional to 43,902 and 97,294

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Solution

The third proportional to 43,902 and 97,294 is: 215,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,902 : 97,294 = 97,294 : x
  2. Step 2: Convert to fraction form
    43,902/97,294 = 97,294/x
  3. Step 3: Cross multiply
    43,902x = 97,294 × 97,294
  4. Step 4: Simplify right side
    43,902x = 9,466,122,436
  5. Step 5: Solve for x
    x = 9,466,122,436/43,902
  6. Step 6: Final answer
    x = 215,619.39

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.