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Finding the Third Proportional to 204,658,002 and 314,891,631

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Solution

The third proportional to 204,658,002 and 314,891,631 is: 484,499,693.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,658,002 : 314,891,631 = 314,891,631 : x
  2. Step 2: Convert to fraction form
    204,658,002/314,891,631 = 314,891,631/x
  3. Step 3: Cross multiply
    204,658,002x = 314,891,631 × 314,891,631
  4. Step 4: Simplify right side
    204,658,002x = 99,156,739,273,840,160
  5. Step 5: Solve for x
    x = 99,156,739,273,840,160/204,658,002
  6. Step 6: Final answer
    x = 484,499,693.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.