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Finding the Third Proportional to 82,178,853.75 and 180,793,279.13

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Solution

The third proportional to 82,178,853.75 and 180,793,279.13 is: 397,744,776.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178,853.75 : 180,793,279.13 = 180,793,279.13 : x
  2. Step 2: Convert to fraction form
    82,178,853.75/180,793,279.13 = 180,793,279.13/x
  3. Step 3: Cross multiply
    82,178,853.75x = 180,793,279.13 × 180,793,279.13
  4. Step 4: Simplify right side
    82,178,853.75x = 32,686,209,776,770,160
  5. Step 5: Solve for x
    x = 32,686,209,776,770,160/82,178,853.75
  6. Step 6: Final answer
    x = 397,744,776.00

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.