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Finding the Third Proportional to 96,762,255,492 and 134,540,181,786

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Solution

The third proportional to 96,762,255,492 and 134,540,181,786 is: 187,067,368,603.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762,255,492 : 134,540,181,786 = 134,540,181,786 : x
  2. Step 2: Convert to fraction form
    96,762,255,492/134,540,181,786 = 134,540,181,786/x
  3. Step 3: Cross multiply
    96,762,255,492x = 134,540,181,786 × 134,540,181,786
  4. Step 4: Simplify right side
    96,762,255,492x = 18,101,060,515,009,925,218,304
  5. Step 5: Solve for x
    x = 18,101,060,515,009,925,218,304/96,762,255,492
  6. Step 6: Final answer
    x = 187,067,368,603.31

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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.