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Finding the Third Proportional to 95,421 and 207,439.50

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Solution

The third proportional to 95,421 and 207,439.50 is: 450,960.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,421 : 207,439.50 = 207,439.50 : x
  2. Step 2: Convert to fraction form
    95,421/207,439.50 = 207,439.50/x
  3. Step 3: Cross multiply
    95,421x = 207,439.50 × 207,439.50
  4. Step 4: Simplify right side
    95,421x = 43,031,146,160.25
  5. Step 5: Solve for x
    x = 43,031,146,160.25/95,421
  6. Step 6: Final answer
    x = 450,960.96

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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.