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Finding the Third Proportional to 156,729,210 and 365,989,087

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Solution

The third proportional to 156,729,210 and 365,989,087 is: 854,646,123.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,729,210 : 365,989,087 = 365,989,087 : x
  2. Step 2: Convert to fraction form
    156,729,210/365,989,087 = 365,989,087/x
  3. Step 3: Cross multiply
    156,729,210x = 365,989,087 × 365,989,087
  4. Step 4: Simplify right side
    156,729,210x = 133,948,011,803,093,568
  5. Step 5: Solve for x
    x = 133,948,011,803,093,568/156,729,210
  6. Step 6: Final answer
    x = 854,646,123.74

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.