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Finding the Third Proportional to 100,448 and 151,966.50

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Solution

The third proportional to 100,448 and 151,966.50 is: 229,908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,448 : 151,966.50 = 151,966.50 : x
  2. Step 2: Convert to fraction form
    100,448/151,966.50 = 151,966.50/x
  3. Step 3: Cross multiply
    100,448x = 151,966.50 × 151,966.50
  4. Step 4: Simplify right side
    100,448x = 23,093,817,122.25
  5. Step 5: Solve for x
    x = 23,093,817,122.25/100,448
  6. Step 6: Final answer
    x = 229,908.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.