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Finding the Third Proportional to 100,948.13 and 218,613.75

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Solution

The third proportional to 100,948.13 and 218,613.75 is: 473,431.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,948.13 : 218,613.75 = 218,613.75 : x
  2. Step 2: Convert to fraction form
    100,948.13/218,613.75 = 218,613.75/x
  3. Step 3: Cross multiply
    100,948.13x = 218,613.75 × 218,613.75
  4. Step 4: Simplify right side
    100,948.13x = 47,791,971,689.06
  5. Step 5: Solve for x
    x = 47,791,971,689.06/100,948.13
  6. Step 6: Final answer
    x = 473,431.00

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