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Finding the Third Proportional to 101,948.63 and 168,490.13

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Solution

The third proportional to 101,948.63 and 168,490.13 is: 278,463.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,948.63 : 168,490.13 = 168,490.13 : x
  2. Step 2: Convert to fraction form
    101,948.63/168,490.13 = 168,490.13/x
  3. Step 3: Cross multiply
    101,948.63x = 168,490.13 × 168,490.13
  4. Step 4: Simplify right side
    101,948.63x = 28,388,922,222.52
  5. Step 5: Solve for x
    x = 28,388,922,222.52/101,948.63
  6. Step 6: Final answer
    x = 278,463.02

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These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.