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Finding the Third Proportional to 96,762,255,681 and 134,540,182,131

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Solution

The third proportional to 96,762,255,681 and 134,540,182,131 is: 187,067,369,197.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,762,255,681 : 134,540,182,131 = 134,540,182,131 : x
  2. Step 2: Convert to fraction form
    96,762,255,681/134,540,182,131 = 134,540,182,131/x
  3. Step 3: Cross multiply
    96,762,255,681x = 134,540,182,131 × 134,540,182,131
  4. Step 4: Simplify right side
    96,762,255,681x = 18,101,060,607,842,650,685,440
  5. Step 5: Solve for x
    x = 18,101,060,607,842,650,685,440/96,762,255,681
  6. Step 6: Final answer
    x = 187,067,369,197.32

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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.