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Finding the Third Proportional to 107,627.17 and 235,646.40

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Solution

The third proportional to 107,627.17 and 235,646.40 is: 515,940.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,627.17 : 235,646.40 = 235,646.40 : x
  2. Step 2: Convert to fraction form
    107,627.17/235,646.40 = 235,646.40/x
  3. Step 3: Cross multiply
    107,627.17x = 235,646.40 × 235,646.40
  4. Step 4: Simplify right side
    107,627.17x = 55,529,226,937.55
  5. Step 5: Solve for x
    x = 55,529,226,937.55/107,627.17
  6. Step 6: Final answer
    x = 515,940.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.