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Finding the Third Proportional to 110,585.88 and 235,654.95

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Solution

The third proportional to 110,585.88 and 235,654.95 is: 502,173.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,585.88 : 235,654.95 = 235,654.95 : x
  2. Step 2: Convert to fraction form
    110,585.88/235,654.95 = 235,654.95/x
  3. Step 3: Cross multiply
    110,585.88x = 235,654.95 × 235,654.95
  4. Step 4: Simplify right side
    110,585.88x = 55,533,253,250.24
  5. Step 5: Solve for x
    x = 55,533,253,250.24/110,585.88
  6. Step 6: Final answer
    x = 502,173.08

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.