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Finding the Third Proportional to 109,167.75 and 238,636.13

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Solution

The third proportional to 109,167.75 and 238,636.13 is: 521,648.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,167.75 : 238,636.13 = 238,636.13 : x
  2. Step 2: Convert to fraction form
    109,167.75/238,636.13 = 238,636.13/x
  3. Step 3: Cross multiply
    109,167.75x = 238,636.13 × 238,636.13
  4. Step 4: Simplify right side
    109,167.75x = 56,947,200,155.02
  5. Step 5: Solve for x
    x = 56,947,200,155.02/109,167.75
  6. Step 6: Final answer
    x = 521,648.57

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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.