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Finding the Third Proportional to 102,767,002 and 150,291,831

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Solution

The third proportional to 102,767,002 and 150,291,831 is: 219,794,623.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,767,002 : 150,291,831 = 150,291,831 : x
  2. Step 2: Convert to fraction form
    102,767,002/150,291,831 = 150,291,831/x
  3. Step 3: Cross multiply
    102,767,002x = 150,291,831 × 150,291,831
  4. Step 4: Simplify right side
    102,767,002x = 22,587,634,465,332,560
  5. Step 5: Solve for x
    x = 22,587,634,465,332,560/102,767,002
  6. Step 6: Final answer
    x = 219,794,623.04

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.