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Finding the Third Proportional to 231,891,498 and 505,449,355.50

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Solution

The third proportional to 231,891,498 and 505,449,355.50 is: 1,101,718,058.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,891,498 : 505,449,355.50 = 505,449,355.50 : x
  2. Step 2: Convert to fraction form
    231,891,498/505,449,355.50 = 505,449,355.50/x
  3. Step 3: Cross multiply
    231,891,498x = 505,449,355.50 × 505,449,355.50
  4. Step 4: Simplify right side
    231,891,498x = 255,479,050,975,365,376
  5. Step 5: Solve for x
    x = 255,479,050,975,365,376/231,891,498
  6. Step 6: Final answer
    x = 1,101,718,058.57

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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.