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Finding the Third Proportional to 499,304,199.50 and 1,085,514,963

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Solution

The third proportional to 499,304,199.50 and 1,085,514,963 is: 2,359,969,605.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,304,199.50 : 1,085,514,963 = 1,085,514,963 : x
  2. Step 2: Convert to fraction form
    499,304,199.50/1,085,514,963 = 1,085,514,963/x
  3. Step 3: Cross multiply
    499,304,199.50x = 1,085,514,963 × 1,085,514,963
  4. Step 4: Simplify right side
    499,304,199.50x = 1,178,342,734,896,891,392
  5. Step 5: Solve for x
    x = 1,178,342,734,896,891,392/499,304,199.50
  6. Step 6: Final answer
    x = 2,359,969,605.86

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.