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Finding the Third Proportional to 96,639.19 and 207,118.13

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Solution

The third proportional to 96,639.19 and 207,118.13 is: 443,897.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,639.19 : 207,118.13 = 207,118.13 : x
  2. Step 2: Convert to fraction form
    96,639.19/207,118.13 = 207,118.13/x
  3. Step 3: Cross multiply
    96,639.19x = 207,118.13 × 207,118.13
  4. Step 4: Simplify right side
    96,639.19x = 42,897,917,703.52
  5. Step 5: Solve for x
    x = 42,897,917,703.52/96,639.19
  6. Step 6: Final answer
    x = 443,897.75

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