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Finding the Third Proportional to 48,033.84 and 102,718.13

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Solution

The third proportional to 48,033.84 and 102,718.13 is: 219,657.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,033.84 : 102,718.13 = 102,718.13 : x
  2. Step 2: Convert to fraction form
    48,033.84/102,718.13 = 102,718.13/x
  3. Step 3: Cross multiply
    48,033.84x = 102,718.13 × 102,718.13
  4. Step 4: Simplify right side
    48,033.84x = 10,551,013,203.52
  5. Step 5: Solve for x
    x = 10,551,013,203.52/48,033.84
  6. Step 6: Final answer
    x = 219,657.90

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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.