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Finding the Third Proportional to 83,933 and 130,154.50

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Solution

The third proportional to 83,933 and 130,154.50 is: 201,829.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,933 : 130,154.50 = 130,154.50 : x
  2. Step 2: Convert to fraction form
    83,933/130,154.50 = 130,154.50/x
  3. Step 3: Cross multiply
    83,933x = 130,154.50 × 130,154.50
  4. Step 4: Simplify right side
    83,933x = 16,940,193,870.25
  5. Step 5: Solve for x
    x = 16,940,193,870.25/83,933
  6. Step 6: Final answer
    x = 201,829.96

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.