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Finding the Third Proportional to 192,007,008 and 305,016,624

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Solution

The third proportional to 192,007,008 and 305,016,624 is: 484,540,339.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,007,008 : 305,016,624 = 305,016,624 : x
  2. Step 2: Convert to fraction form
    192,007,008/305,016,624 = 305,016,624/x
  3. Step 3: Cross multiply
    192,007,008x = 305,016,624 × 305,016,624
  4. Step 4: Simplify right side
    192,007,008x = 93,035,140,916,357,376
  5. Step 5: Solve for x
    x = 93,035,140,916,357,376/192,007,008
  6. Step 6: Final answer
    x = 484,540,339.88

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.