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Finding the Third Proportional to 412,186,191.75 and 888,940,642.50

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Solution

The third proportional to 412,186,191.75 and 888,940,642.50 is: 1,917,132,309.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186,191.75 : 888,940,642.50 = 888,940,642.50 : x
  2. Step 2: Convert to fraction form
    412,186,191.75/888,940,642.50 = 888,940,642.50/x
  3. Step 3: Cross multiply
    412,186,191.75x = 888,940,642.50 × 888,940,642.50
  4. Step 4: Simplify right side
    412,186,191.75x = 790,215,465,888,312,832
  5. Step 5: Solve for x
    x = 790,215,465,888,312,832/412,186,191.75
  6. Step 6: Final answer
    x = 1,917,132,309.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.