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Finding the Third Proportional to 95,499 and 207,423.28

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Solution

The third proportional to 95,499 and 207,423.28 is: 450,522.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,499 : 207,423.28 = 207,423.28 : x
  2. Step 2: Convert to fraction form
    95,499/207,423.28 = 207,423.28/x
  3. Step 3: Cross multiply
    95,499x = 207,423.28 × 207,423.28
  4. Step 4: Simplify right side
    95,499x = 43,024,417,604.52
  5. Step 5: Solve for x
    x = 43,024,417,604.52/95,499
  6. Step 6: Final answer
    x = 450,522.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.