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Finding the Third Proportional to 82,872,279 and 130,002,150

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Solution

The third proportional to 82,872,279 and 130,002,150 is: 203,935,009.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,872,279 : 130,002,150 = 130,002,150 : x
  2. Step 2: Convert to fraction form
    82,872,279/130,002,150 = 130,002,150/x
  3. Step 3: Cross multiply
    82,872,279x = 130,002,150 × 130,002,150
  4. Step 4: Simplify right side
    82,872,279x = 16,900,559,004,622,500
  5. Step 5: Solve for x
    x = 16,900,559,004,622,500/82,872,279
  6. Step 6: Final answer
    x = 203,935,009.49

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.