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Finding the Third Proportional to 107,138.81 and 233,326.13

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Solution

The third proportional to 107,138.81 and 233,326.13 is: 508,135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,138.81 : 233,326.13 = 233,326.13 : x
  2. Step 2: Convert to fraction form
    107,138.81/233,326.13 = 233,326.13/x
  3. Step 3: Cross multiply
    107,138.81x = 233,326.13 × 233,326.13
  4. Step 4: Simplify right side
    107,138.81x = 54,441,080,607.52
  5. Step 5: Solve for x
    x = 54,441,080,607.52/107,138.81
  6. Step 6: Final answer
    x = 508,135.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.