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Finding the Third Proportional to 80,810,226,315 and 113,654,176,685.44

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Solution

The third proportional to 80,810,226,315 and 113,654,176,685.44 is: 159,846,995,449.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,810,226,315 : 113,654,176,685.44 = 113,654,176,685.44 : x
  2. Step 2: Convert to fraction form
    80,810,226,315/113,654,176,685.44 = 113,654,176,685.44/x
  3. Step 3: Cross multiply
    80,810,226,315x = 113,654,176,685.44 × 113,654,176,685.44
  4. Step 4: Simplify right side
    80,810,226,315x = 12,917,271,878,045,213,392,896
  5. Step 5: Solve for x
    x = 12,917,271,878,045,213,392,896/80,810,226,315
  6. Step 6: Final answer
    x = 159,846,995,449.48

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.