Home / 102,381,853.50-144,867,183.75

Finding the Third Proportional to 102,381,853.50 and 144,867,183.75

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Solution

The third proportional to 102,381,853.50 and 144,867,183.75 is: 204,982,623.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,381,853.50 : 144,867,183.75 = 144,867,183.75 : x
  2. Step 2: Convert to fraction form
    102,381,853.50/144,867,183.75 = 144,867,183.75/x
  3. Step 3: Cross multiply
    102,381,853.50x = 144,867,183.75 × 144,867,183.75
  4. Step 4: Simplify right side
    102,381,853.50x = 20,986,500,927,656,264
  5. Step 5: Solve for x
    x = 20,986,500,927,656,264/102,381,853.50
  6. Step 6: Final answer
    x = 204,982,623.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.