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Finding the Third Proportional to 100,006,092 and 150,275,404.50

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Solution

The third proportional to 100,006,092 and 150,275,404.50 is: 225,813,215.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,092 : 150,275,404.50 = 150,275,404.50 : x
  2. Step 2: Convert to fraction form
    100,006,092/150,275,404.50 = 150,275,404.50/x
  3. Step 3: Cross multiply
    100,006,092x = 150,275,404.50 × 150,275,404.50
  4. Step 4: Simplify right side
    100,006,092x = 22,582,697,197,638,620
  5. Step 5: Solve for x
    x = 22,582,697,197,638,620/100,006,092
  6. Step 6: Final answer
    x = 225,813,215.44

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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.