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Finding the Third Proportional to 48,696.19 and 101,287.69

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Solution

The third proportional to 48,696.19 and 101,287.69 is: 210,677.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,696.19 : 101,287.69 = 101,287.69 : x
  2. Step 2: Convert to fraction form
    48,696.19/101,287.69 = 101,287.69/x
  3. Step 3: Cross multiply
    48,696.19x = 101,287.69 × 101,287.69
  4. Step 4: Simplify right side
    48,696.19x = 10,259,195,639.10
  5. Step 5: Solve for x
    x = 10,259,195,639.10/48,696.19
  6. Step 6: Final answer
    x = 210,677.59

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.