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Finding the Third Proportional to 82,872,275 and 130,002,143

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Solution

The third proportional to 82,872,275 and 130,002,143 is: 203,934,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,872,275 : 130,002,143 = 130,002,143 : x
  2. Step 2: Convert to fraction form
    82,872,275/130,002,143 = 130,002,143/x
  3. Step 3: Cross multiply
    82,872,275x = 130,002,143 × 130,002,143
  4. Step 4: Simplify right side
    82,872,275x = 16,900,557,184,592,448
  5. Step 5: Solve for x
    x = 16,900,557,184,592,448/82,872,275
  6. Step 6: Final answer
    x = 203,934,997.38

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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.