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Finding the Third Proportional to 100,473 and 147,685.50

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Solution

The third proportional to 100,473 and 147,685.50 is: 217,083.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,473 : 147,685.50 = 147,685.50 : x
  2. Step 2: Convert to fraction form
    100,473/147,685.50 = 147,685.50/x
  3. Step 3: Cross multiply
    100,473x = 147,685.50 × 147,685.50
  4. Step 4: Simplify right side
    100,473x = 21,811,006,910.25
  5. Step 5: Solve for x
    x = 21,811,006,910.25/100,473
  6. Step 6: Final answer
    x = 217,083.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.