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Finding the Third Proportional to 109,932.19 and 240,904.69

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Solution

The third proportional to 109,932.19 and 240,904.69 is: 527,916.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,932.19 : 240,904.69 = 240,904.69 : x
  2. Step 2: Convert to fraction form
    109,932.19/240,904.69 = 240,904.69/x
  3. Step 3: Cross multiply
    109,932.19x = 240,904.69 × 240,904.69
  4. Step 4: Simplify right side
    109,932.19x = 58,035,068,459.47
  5. Step 5: Solve for x
    x = 58,035,068,459.47/109,932.19
  6. Step 6: Final answer
    x = 527,916.98

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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.