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Finding the Third Proportional to 109,729.69 and 235,828.13

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Solution

The third proportional to 109,729.69 and 235,828.13 is: 506,835.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,729.69 : 235,828.13 = 235,828.13 : x
  2. Step 2: Convert to fraction form
    109,729.69/235,828.13 = 235,828.13/x
  3. Step 3: Cross multiply
    109,729.69x = 235,828.13 × 235,828.13
  4. Step 4: Simplify right side
    109,729.69x = 55,614,904,541.02
  5. Step 5: Solve for x
    x = 55,614,904,541.02/109,729.69
  6. Step 6: Final answer
    x = 506,835.53

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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.