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Finding the Third Proportional to 97,414.31 and 202,483.13

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Solution

The third proportional to 97,414.31 and 202,483.13 is: 420,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,414.31 : 202,483.13 = 202,483.13 : x
  2. Step 2: Convert to fraction form
    97,414.31/202,483.13 = 202,483.13/x
  3. Step 3: Cross multiply
    97,414.31x = 202,483.13 × 202,483.13
  4. Step 4: Simplify right side
    97,414.31x = 40,999,415,909.77
  5. Step 5: Solve for x
    x = 40,999,415,909.77/97,414.31
  6. Step 6: Final answer
    x = 420,876.72

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.