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Finding the Third Proportional to 206,037,967,950 and 311,015,799,711

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Solution

The third proportional to 206,037,967,950 and 311,015,799,711 is: 469,480,594,437.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,037,967,950 : 311,015,799,711 = 311,015,799,711 : x
  2. Step 2: Convert to fraction form
    206,037,967,950/311,015,799,711 = 311,015,799,711/x
  3. Step 3: Cross multiply
    206,037,967,950x = 311,015,799,711 × 311,015,799,711
  4. Step 4: Simplify right side
    206,037,967,950x = 96,730,827,669,872,872,259,584
  5. Step 5: Solve for x
    x = 96,730,827,669,872,872,259,584/206,037,967,950
  6. Step 6: Final answer
    x = 469,480,594,437.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.