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Finding the Third Proportional to 218,143,711.50 and 466,520,511

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Solution

The third proportional to 218,143,711.50 and 466,520,511 is: 997,697,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,143,711.50 : 466,520,511 = 466,520,511 : x
  2. Step 2: Convert to fraction form
    218,143,711.50/466,520,511 = 466,520,511/x
  3. Step 3: Cross multiply
    218,143,711.50x = 466,520,511 × 466,520,511
  4. Step 4: Simplify right side
    218,143,711.50x = 217,641,387,183,701,120
  5. Step 5: Solve for x
    x = 217,641,387,183,701,120/218,143,711.50
  6. Step 6: Final answer
    x = 997,697,278.03

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.