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Finding the Third Proportional to 106,615.13 and 229,834.13

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Solution

The third proportional to 106,615.13 and 229,834.13 is: 495,461.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,615.13 : 229,834.13 = 229,834.13 : x
  2. Step 2: Convert to fraction form
    106,615.13/229,834.13 = 229,834.13/x
  3. Step 3: Cross multiply
    106,615.13x = 229,834.13 × 229,834.13
  4. Step 4: Simplify right side
    106,615.13x = 52,823,725,014.52
  5. Step 5: Solve for x
    x = 52,823,725,014.52/106,615.13
  6. Step 6: Final answer
    x = 495,461.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.