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Finding the Third Proportional to 100,006,269.75 and 150,275,655.56

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Solution

The third proportional to 100,006,269.75 and 150,275,655.56 is: 225,813,568.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,269.75 : 150,275,655.56 = 150,275,655.56 : x
  2. Step 2: Convert to fraction form
    100,006,269.75/150,275,655.56 = 150,275,655.56/x
  3. Step 3: Cross multiply
    100,006,269.75x = 150,275,655.56 × 150,275,655.56
  4. Step 4: Simplify right side
    100,006,269.75x = 22,582,772,654,739,136
  5. Step 5: Solve for x
    x = 22,582,772,654,739,136/100,006,269.75
  6. Step 6: Final answer
    x = 225,813,568.60

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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.