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Finding the Third Proportional to 100,006,052 and 150,275,344

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Solution

The third proportional to 100,006,052 and 150,275,344 is: 225,813,123.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,052 : 150,275,344 = 150,275,344 : x
  2. Step 2: Convert to fraction form
    100,006,052/150,275,344 = 150,275,344/x
  3. Step 3: Cross multiply
    100,006,052x = 150,275,344 × 150,275,344
  4. Step 4: Simplify right side
    100,006,052x = 22,582,679,014,318,336
  5. Step 5: Solve for x
    x = 22,582,679,014,318,336/100,006,052
  6. Step 6: Final answer
    x = 225,813,123.93

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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.