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Finding the Third Proportional to 61,667,223 and 137,122,260

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Solution

The third proportional to 61,667,223 and 137,122,260 is: 304,902,884.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,667,223 : 137,122,260 = 137,122,260 : x
  2. Step 2: Convert to fraction form
    61,667,223/137,122,260 = 137,122,260/x
  3. Step 3: Cross multiply
    61,667,223x = 137,122,260 × 137,122,260
  4. Step 4: Simplify right side
    61,667,223x = 18,802,514,187,507,600
  5. Step 5: Solve for x
    x = 18,802,514,187,507,600/61,667,223
  6. Step 6: Final answer
    x = 304,902,884.75

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.