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Finding the Third Proportional to 120,250,082 and 263,482,468

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Solution

The third proportional to 120,250,082 and 263,482,468 is: 577,321,942.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,250,082 : 263,482,468 = 263,482,468 : x
  2. Step 2: Convert to fraction form
    120,250,082/263,482,468 = 263,482,468/x
  3. Step 3: Cross multiply
    120,250,082x = 263,482,468 × 263,482,468
  4. Step 4: Simplify right side
    120,250,082x = 69,423,010,943,371,024
  5. Step 5: Solve for x
    x = 69,423,010,943,371,024/120,250,082
  6. Step 6: Final answer
    x = 577,321,942.64

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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.