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Finding the Third Proportional to 98,644 and 215,744

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Solution

The third proportional to 98,644 and 215,744 is: 471,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,644 : 215,744 = 215,744 : x
  2. Step 2: Convert to fraction form
    98,644/215,744 = 215,744/x
  3. Step 3: Cross multiply
    98,644x = 215,744 × 215,744
  4. Step 4: Simplify right side
    98,644x = 46,545,473,536
  5. Step 5: Solve for x
    x = 46,545,473,536/98,644
  6. Step 6: Final answer
    x = 471,853.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.