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Finding the Third Proportional to 138,471,801 and 219,266,577

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Solution

The third proportional to 138,471,801 and 219,266,577 is: 347,203,051.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,471,801 : 219,266,577 = 219,266,577 : x
  2. Step 2: Convert to fraction form
    138,471,801/219,266,577 = 219,266,577/x
  3. Step 3: Cross multiply
    138,471,801x = 219,266,577 × 219,266,577
  4. Step 4: Simplify right side
    138,471,801x = 48,077,831,789,296,928
  5. Step 5: Solve for x
    x = 48,077,831,789,296,928/138,471,801
  6. Step 6: Final answer
    x = 347,203,051.03

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.