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Finding the Third Proportional to 98,631 and 215,713.13

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Solution

The third proportional to 98,631 and 215,713.13 is: 471,780.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,631 : 215,713.13 = 215,713.13 : x
  2. Step 2: Convert to fraction form
    98,631/215,713.13 = 215,713.13/x
  3. Step 3: Cross multiply
    98,631x = 215,713.13 × 215,713.13
  4. Step 4: Simplify right side
    98,631x = 46,532,152,297.27
  5. Step 5: Solve for x
    x = 46,532,152,297.27/98,631
  6. Step 6: Final answer
    x = 471,780.19

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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.