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Finding the Third Proportional to 45,331 and 97,217

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Solution

The third proportional to 45,331 and 97,217 is: 208,491.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,331 : 97,217 = 97,217 : x
  2. Step 2: Convert to fraction form
    45,331/97,217 = 97,217/x
  3. Step 3: Cross multiply
    45,331x = 97,217 × 97,217
  4. Step 4: Simplify right side
    45,331x = 9,451,145,089
  5. Step 5: Solve for x
    x = 9,451,145,089/45,331
  6. Step 6: Final answer
    x = 208,491.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.