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Finding the Third Proportional to 151,851,267 and 226,781,831

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Solution

The third proportional to 151,851,267 and 226,781,831 is: 338,686,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,851,267 : 226,781,831 = 226,781,831 : x
  2. Step 2: Convert to fraction form
    151,851,267/226,781,831 = 226,781,831/x
  3. Step 3: Cross multiply
    151,851,267x = 226,781,831 × 226,781,831
  4. Step 4: Simplify right side
    151,851,267x = 51,429,998,871,712,560
  5. Step 5: Solve for x
    x = 51,429,998,871,712,560/151,851,267
  6. Step 6: Final answer
    x = 338,686,662.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.