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Finding the Third Proportional to 245,278,860 and 534,103,320

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Solution

The third proportional to 245,278,860 and 534,103,320 is: 1,163,028,711.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,278,860 : 534,103,320 = 534,103,320 : x
  2. Step 2: Convert to fraction form
    245,278,860/534,103,320 = 534,103,320/x
  3. Step 3: Cross multiply
    245,278,860x = 534,103,320 × 534,103,320
  4. Step 4: Simplify right side
    245,278,860x = 285,266,356,435,022,400
  5. Step 5: Solve for x
    x = 285,266,356,435,022,400/245,278,860
  6. Step 6: Final answer
    x = 1,163,028,711.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.