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Finding the Third Proportional to 107,049.09 and 235,280.53

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Solution

The third proportional to 107,049.09 and 235,280.53 is: 517,117.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,049.09 : 235,280.53 = 235,280.53 : x
  2. Step 2: Convert to fraction form
    107,049.09/235,280.53 = 235,280.53/x
  3. Step 3: Cross multiply
    107,049.09x = 235,280.53 × 235,280.53
  4. Step 4: Simplify right side
    107,049.09x = 55,356,928,385.28
  5. Step 5: Solve for x
    x = 55,356,928,385.28/107,049.09
  6. Step 6: Final answer
    x = 517,117.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.