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Finding the Third Proportional to 109,486.69 and 234,829.13

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Solution

The third proportional to 109,486.69 and 234,829.13 is: 503,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,486.69 : 234,829.13 = 234,829.13 : x
  2. Step 2: Convert to fraction form
    109,486.69/234,829.13 = 234,829.13/x
  3. Step 3: Cross multiply
    109,486.69x = 234,829.13 × 234,829.13
  4. Step 4: Simplify right side
    109,486.69x = 55,144,717,948.27
  5. Step 5: Solve for x
    x = 55,144,717,948.27/109,486.69
  6. Step 6: Final answer
    x = 503,665.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.