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Finding the Third Proportional to 107,655.75 and 233,971.88

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Solution

The third proportional to 107,655.75 and 233,971.88 is: 508,498.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,655.75 : 233,971.88 = 233,971.88 : x
  2. Step 2: Convert to fraction form
    107,655.75/233,971.88 = 233,971.88/x
  3. Step 3: Cross multiply
    107,655.75x = 233,971.88 × 233,971.88
  4. Step 4: Simplify right side
    107,655.75x = 54,742,838,291.02
  5. Step 5: Solve for x
    x = 54,742,838,291.02/107,655.75
  6. Step 6: Final answer
    x = 508,498.97

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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.