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Finding the Third Proportional to 45,014.17 and 96,700.39

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Solution

The third proportional to 45,014.17 and 96,700.39 is: 207,733.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,014.17 : 96,700.39 = 96,700.39 : x
  2. Step 2: Convert to fraction form
    45,014.17/96,700.39 = 96,700.39/x
  3. Step 3: Cross multiply
    45,014.17x = 96,700.39 × 96,700.39
  4. Step 4: Simplify right side
    45,014.17x = 9,350,966,302.50
  5. Step 5: Solve for x
    x = 9,350,966,302.50/45,014.17
  6. Step 6: Final answer
    x = 207,733.85

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.