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Finding the Third Proportional to 251,659,680,854.75 and 552,041,972,234.90

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Solution

The third proportional to 251,659,680,854.75 and 552,041,972,234.90 is: 1,210,962,113,890.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,659,680,854.75 : 552,041,972,234.90 = 552,041,972,234.90 : x
  2. Step 2: Convert to fraction form
    251,659,680,854.75/552,041,972,234.90 = 552,041,972,234.90/x
  3. Step 3: Cross multiply
    251,659,680,854.75x = 552,041,972,234.90 × 552,041,972,234.90
  4. Step 4: Simplify right side
    251,659,680,854.75x = 304,750,339,108,998,152,716,288
  5. Step 5: Solve for x
    x = 304,750,339,108,998,152,716,288/251,659,680,854.75
  6. Step 6: Final answer
    x = 1,210,962,113,890.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.