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Finding the Third Proportional to 100,006,574 and 150,276,165

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Solution

The third proportional to 100,006,574 and 150,276,165 is: 225,814,412.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,574 : 150,276,165 = 150,276,165 : x
  2. Step 2: Convert to fraction form
    100,006,574/150,276,165 = 150,276,165/x
  3. Step 3: Cross multiply
    100,006,574x = 150,276,165 × 150,276,165
  4. Step 4: Simplify right side
    100,006,574x = 22,582,925,767,107,224
  5. Step 5: Solve for x
    x = 22,582,925,767,107,224/100,006,574
  6. Step 6: Final answer
    x = 225,814,412.63

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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.