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Finding the Third Proportional to 45,513 and 96,766.88

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Solution

The third proportional to 45,513 and 96,766.88 is: 205,739.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,513 : 96,766.88 = 96,766.88 : x
  2. Step 2: Convert to fraction form
    45,513/96,766.88 = 96,766.88/x
  3. Step 3: Cross multiply
    45,513x = 96,766.88 × 96,766.88
  4. Step 4: Simplify right side
    45,513x = 9,363,828,097.27
  5. Step 5: Solve for x
    x = 9,363,828,097.27/45,513
  6. Step 6: Final answer
    x = 205,739.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.