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Finding the Third Proportional to 98,644 and 215,742

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Solution

The third proportional to 98,644 and 215,742 is: 471,844.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,644 : 215,742 = 215,742 : x
  2. Step 2: Convert to fraction form
    98,644/215,742 = 215,742/x
  3. Step 3: Cross multiply
    98,644x = 215,742 × 215,742
  4. Step 4: Simplify right side
    98,644x = 46,544,610,564
  5. Step 5: Solve for x
    x = 46,544,610,564/98,644
  6. Step 6: Final answer
    x = 471,844.31

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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.