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Finding the Third Proportional to 263,812,184 and 351,709,551

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Solution

The third proportional to 263,812,184 and 351,709,551 is: 468,892,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,812,184 : 351,709,551 = 351,709,551 : x
  2. Step 2: Convert to fraction form
    263,812,184/351,709,551 = 351,709,551/x
  3. Step 3: Cross multiply
    263,812,184x = 351,709,551 × 351,709,551
  4. Step 4: Simplify right side
    263,812,184x = 123,699,608,264,621,600
  5. Step 5: Solve for x
    x = 123,699,608,264,621,600/263,812,184
  6. Step 6: Final answer
    x = 468,892,703.85

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.