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Finding the Third Proportional to 95,357 and 207,316

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Solution

The third proportional to 95,357 and 207,316 is: 450,726.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,357 : 207,316 = 207,316 : x
  2. Step 2: Convert to fraction form
    95,357/207,316 = 207,316/x
  3. Step 3: Cross multiply
    95,357x = 207,316 × 207,316
  4. Step 4: Simplify right side
    95,357x = 42,979,923,856
  5. Step 5: Solve for x
    x = 42,979,923,856/95,357
  6. Step 6: Final answer
    x = 450,726.47

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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.