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Finding the Third Proportional to 100,006,560 and 150,276,144

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Solution

The third proportional to 100,006,560 and 150,276,144 is: 225,814,381.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,006,560 : 150,276,144 = 150,276,144 : x
  2. Step 2: Convert to fraction form
    100,006,560/150,276,144 = 150,276,144/x
  3. Step 3: Cross multiply
    100,006,560x = 150,276,144 × 150,276,144
  4. Step 4: Simplify right side
    100,006,560x = 22,582,919,455,508,736
  5. Step 5: Solve for x
    x = 22,582,919,455,508,736/100,006,560
  6. Step 6: Final answer
    x = 225,814,381.13

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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.