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Finding the Third Proportional to 160,561,505 and 255,197,721

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Solution

The third proportional to 160,561,505 and 255,197,721 is: 405,613,268.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,561,505 : 255,197,721 = 255,197,721 : x
  2. Step 2: Convert to fraction form
    160,561,505/255,197,721 = 255,197,721/x
  3. Step 3: Cross multiply
    160,561,505x = 255,197,721 × 255,197,721
  4. Step 4: Simplify right side
    160,561,505x = 65,125,876,803,593,840
  5. Step 5: Solve for x
    x = 65,125,876,803,593,840/160,561,505
  6. Step 6: Final answer
    x = 405,613,268.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.