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Finding the Third Proportional to 109,152.38 and 234,904.13

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Solution

The third proportional to 109,152.38 and 234,904.13 is: 505,531.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,152.38 : 234,904.13 = 234,904.13 : x
  2. Step 2: Convert to fraction form
    109,152.38/234,904.13 = 234,904.13/x
  3. Step 3: Cross multiply
    109,152.38x = 234,904.13 × 234,904.13
  4. Step 4: Simplify right side
    109,152.38x = 55,179,947,942.02
  5. Step 5: Solve for x
    x = 55,179,947,942.02/109,152.38
  6. Step 6: Final answer
    x = 505,531.35

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.