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Finding the Third Proportional to 40,614.75 and 97,837.88

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Solution

The third proportional to 40,614.75 and 97,837.88 is: 235,684.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,614.75 : 97,837.88 = 97,837.88 : x
  2. Step 2: Convert to fraction form
    40,614.75/97,837.88 = 97,837.88/x
  3. Step 3: Cross multiply
    40,614.75x = 97,837.88 × 97,837.88
  4. Step 4: Simplify right side
    40,614.75x = 9,572,249,784.52
  5. Step 5: Solve for x
    x = 9,572,249,784.52/40,614.75
  6. Step 6: Final answer
    x = 235,684.07

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.