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Finding the Third Proportional to 96,762,255,761 and 134,540,182,233

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Solution

The third proportional to 96,762,255,761 and 134,540,182,233 is: 187,067,369,326.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762,255,761 : 134,540,182,233 = 134,540,182,233 : x
  2. Step 2: Convert to fraction form
    96,762,255,761/134,540,182,233 = 134,540,182,233/x
  3. Step 3: Cross multiply
    96,762,255,761x = 134,540,182,233 × 134,540,182,233
  4. Step 4: Simplify right side
    96,762,255,761x = 18,101,060,635,288,848,564,224
  5. Step 5: Solve for x
    x = 18,101,060,635,288,848,564,224/96,762,255,761
  6. Step 6: Final answer
    x = 187,067,369,326.30

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.