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Finding the Third Proportional to 204,912,624 and 314,770,854

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Solution

The third proportional to 204,912,624 and 314,770,854 is: 483,526,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,912,624 : 314,770,854 = 314,770,854 : x
  2. Step 2: Convert to fraction form
    204,912,624/314,770,854 = 314,770,854/x
  3. Step 3: Cross multiply
    204,912,624x = 314,770,854 × 314,770,854
  4. Step 4: Simplify right side
    204,912,624x = 99,080,690,527,889,312
  5. Step 5: Solve for x
    x = 99,080,690,527,889,312/204,912,624
  6. Step 6: Final answer
    x = 483,526,532.40

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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.