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Finding the Third Proportional to 98,448 and 215,967

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Solution

The third proportional to 98,448 and 215,967 is: 473,770.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,448 : 215,967 = 215,967 : x
  2. Step 2: Convert to fraction form
    98,448/215,967 = 215,967/x
  3. Step 3: Cross multiply
    98,448x = 215,967 × 215,967
  4. Step 4: Simplify right side
    98,448x = 46,641,745,089
  5. Step 5: Solve for x
    x = 46,641,745,089/98,448
  6. Step 6: Final answer
    x = 473,770.37

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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.