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Finding the Third Proportional to 108,384.75 and 235,396.13

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Solution

The third proportional to 108,384.75 and 235,396.13 is: 511,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,384.75 : 235,396.13 = 235,396.13 : x
  2. Step 2: Convert to fraction form
    108,384.75/235,396.13 = 235,396.13/x
  3. Step 3: Cross multiply
    108,384.75x = 235,396.13 × 235,396.13
  4. Step 4: Simplify right side
    108,384.75x = 55,411,335,665.02
  5. Step 5: Solve for x
    x = 55,411,335,665.02/108,384.75
  6. Step 6: Final answer
    x = 511,246.61

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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.