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Finding the Third Proportional to 45,106.88 and 96,471

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Solution

The third proportional to 45,106.88 and 96,471 is: 206,324.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,106.88 : 96,471 = 96,471 : x
  2. Step 2: Convert to fraction form
    45,106.88/96,471 = 96,471/x
  3. Step 3: Cross multiply
    45,106.88x = 96,471 × 96,471
  4. Step 4: Simplify right side
    45,106.88x = 9,306,653,841
  5. Step 5: Solve for x
    x = 9,306,653,841/45,106.88
  6. Step 6: Final answer
    x = 206,324.51

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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.