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Finding the Third Proportional to 49,405.50 and 109,864.13

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Solution

The third proportional to 49,405.50 and 109,864.13 is: 244,307.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,405.50 : 109,864.13 = 109,864.13 : x
  2. Step 2: Convert to fraction form
    49,405.50/109,864.13 = 109,864.13/x
  3. Step 3: Cross multiply
    49,405.50x = 109,864.13 × 109,864.13
  4. Step 4: Simplify right side
    49,405.50x = 12,070,125,962.02
  5. Step 5: Solve for x
    x = 12,070,125,962.02/49,405.50
  6. Step 6: Final answer
    x = 244,307.33

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.