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Finding the Third Proportional to 80,810,226,324 and 113,654,176,698

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Solution

The third proportional to 80,810,226,324 and 113,654,176,698 is: 159,846,995,467.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,810,226,324 : 113,654,176,698 = 113,654,176,698 : x
  2. Step 2: Convert to fraction form
    80,810,226,324/113,654,176,698 = 113,654,176,698/x
  3. Step 3: Cross multiply
    80,810,226,324x = 113,654,176,698 × 113,654,176,698
  4. Step 4: Simplify right side
    80,810,226,324x = 12,917,271,880,900,206,919,680
  5. Step 5: Solve for x
    x = 12,917,271,880,900,206,919,680/80,810,226,324
  6. Step 6: Final answer
    x = 159,846,995,467.01

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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.