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Finding the Third Proportional to 100,006,042.50 and 150,275,331

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Solution

The third proportional to 100,006,042.50 and 150,275,331 is: 225,813,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,042.50 : 150,275,331 = 150,275,331 : x
  2. Step 2: Convert to fraction form
    100,006,042.50/150,275,331 = 150,275,331/x
  3. Step 3: Cross multiply
    100,006,042.50x = 150,275,331 × 150,275,331
  4. Step 4: Simplify right side
    100,006,042.50x = 22,582,675,107,159,560
  5. Step 5: Solve for x
    x = 22,582,675,107,159,560/100,006,042.50
  6. Step 6: Final answer
    x = 225,813,106.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.