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Finding the Third Proportional to 100,948 and 218,613.25

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Solution

The third proportional to 100,948 and 218,613.25 is: 473,429.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948 : 218,613.25 = 218,613.25 : x
  2. Step 2: Convert to fraction form
    100,948/218,613.25 = 218,613.25/x
  3. Step 3: Cross multiply
    100,948x = 218,613.25 × 218,613.25
  4. Step 4: Simplify right side
    100,948x = 47,791,753,075.56
  5. Step 5: Solve for x
    x = 47,791,753,075.56/100,948
  6. Step 6: Final answer
    x = 473,429.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.