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Finding the Third Proportional to 100,006,564 and 150,276,150

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Solution

The third proportional to 100,006,564 and 150,276,150 is: 225,814,390.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,564 : 150,276,150 = 150,276,150 : x
  2. Step 2: Convert to fraction form
    100,006,564/150,276,150 = 150,276,150/x
  3. Step 3: Cross multiply
    100,006,564x = 150,276,150 × 150,276,150
  4. Step 4: Simplify right side
    100,006,564x = 22,582,921,258,822,500
  5. Step 5: Solve for x
    x = 22,582,921,258,822,500/100,006,564
  6. Step 6: Final answer
    x = 225,814,390.13

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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.