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Finding the Third Proportional to 118,385,522,005 and 279,368,644,163

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Solution

The third proportional to 118,385,522,005 and 279,368,644,163 is: 659,260,000,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,385,522,005 : 279,368,644,163 = 279,368,644,163 : x
  2. Step 2: Convert to fraction form
    118,385,522,005/279,368,644,163 = 279,368,644,163/x
  3. Step 3: Cross multiply
    118,385,522,005x = 279,368,644,163 × 279,368,644,163
  4. Step 4: Simplify right side
    118,385,522,005x = 78,046,839,341,472,913,817,600
  5. Step 5: Solve for x
    x = 78,046,839,341,472,913,817,600/118,385,522,005
  6. Step 6: Final answer
    x = 659,260,000,882.34

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.