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Finding the Third Proportional to 100,006,076.25 and 150,275,381.63

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Solution

The third proportional to 100,006,076.25 and 150,275,381.63 is: 225,813,182.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,076.25 : 150,275,381.63 = 150,275,381.63 : x
  2. Step 2: Convert to fraction form
    100,006,076.25/150,275,381.63 = 150,275,381.63/x
  3. Step 3: Cross multiply
    100,006,076.25x = 150,275,381.63 × 150,275,381.63
  4. Step 4: Simplify right side
    100,006,076.25x = 22,582,690,322,539,388
  5. Step 5: Solve for x
    x = 22,582,690,322,539,388/100,006,076.25
  6. Step 6: Final answer
    x = 225,813,182.25

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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.