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Finding the Third Proportional to 98,649 and 215,754

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Solution

The third proportional to 98,649 and 215,754 is: 471,872.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,649 : 215,754 = 215,754 : x
  2. Step 2: Convert to fraction form
    98,649/215,754 = 215,754/x
  3. Step 3: Cross multiply
    98,649x = 215,754 × 215,754
  4. Step 4: Simplify right side
    98,649x = 46,549,788,516
  5. Step 5: Solve for x
    x = 46,549,788,516/98,649
  6. Step 6: Final answer
    x = 471,872.89

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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.