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Finding the Third Proportional to 96,160.41 and 209,253.19

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Solution

The third proportional to 96,160.41 and 209,253.19 is: 455,352.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,160.41 : 209,253.19 = 209,253.19 : x
  2. Step 2: Convert to fraction form
    96,160.41/209,253.19 = 209,253.19/x
  3. Step 3: Cross multiply
    96,160.41x = 209,253.19 × 209,253.19
  4. Step 4: Simplify right side
    96,160.41x = 43,786,896,478.91
  5. Step 5: Solve for x
    x = 43,786,896,478.91/96,160.41
  6. Step 6: Final answer
    x = 455,352.66

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.