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Finding the Third Proportional to 45,167.63 and 96,562.13

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Solution

The third proportional to 45,167.63 and 96,562.13 is: 206,436.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,167.63 : 96,562.13 = 96,562.13 : x
  2. Step 2: Convert to fraction form
    45,167.63/96,562.13 = 96,562.13/x
  3. Step 3: Cross multiply
    45,167.63x = 96,562.13 × 96,562.13
  4. Step 4: Simplify right side
    45,167.63x = 9,324,243,984.52
  5. Step 5: Solve for x
    x = 9,324,243,984.52/45,167.63
  6. Step 6: Final answer
    x = 206,436.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.