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Finding the Third Proportional to 108,470.81 and 235,599.47

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Solution

The third proportional to 108,470.81 and 235,599.47 is: 511,723.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,470.81 : 235,599.47 = 235,599.47 : x
  2. Step 2: Convert to fraction form
    108,470.81/235,599.47 = 235,599.47/x
  3. Step 3: Cross multiply
    108,470.81x = 235,599.47 × 235,599.47
  4. Step 4: Simplify right side
    108,470.81x = 55,507,109,675.28
  5. Step 5: Solve for x
    x = 55,507,109,675.28/108,470.81
  6. Step 6: Final answer
    x = 511,723.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.