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Finding the Third Proportional to 100,006,562 and 150,276,147

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Solution

The third proportional to 100,006,562 and 150,276,147 is: 225,814,385.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,562 : 150,276,147 = 150,276,147 : x
  2. Step 2: Convert to fraction form
    100,006,562/150,276,147 = 150,276,147/x
  3. Step 3: Cross multiply
    100,006,562x = 150,276,147 × 150,276,147
  4. Step 4: Simplify right side
    100,006,562x = 22,582,920,357,165,608
  5. Step 5: Solve for x
    x = 22,582,920,357,165,608/100,006,562
  6. Step 6: Final answer
    x = 225,814,385.63

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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.