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Finding the Third Proportional to 108,613.13 and 227,614.50

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Solution

The third proportional to 108,613.13 and 227,614.50 is: 476,999.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,613.13 : 227,614.50 = 227,614.50 : x
  2. Step 2: Convert to fraction form
    108,613.13/227,614.50 = 227,614.50/x
  3. Step 3: Cross multiply
    108,613.13x = 227,614.50 × 227,614.50
  4. Step 4: Simplify right side
    108,613.13x = 51,808,360,610.25
  5. Step 5: Solve for x
    x = 51,808,360,610.25/108,613.13
  6. Step 6: Final answer
    x = 476,999.08

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.