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Finding the Third Proportional to 95,385,728.25 and 206,617,831.88

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Solution

The third proportional to 95,385,728.25 and 206,617,831.88 is: 447,560,963.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,385,728.25 : 206,617,831.88 = 206,617,831.88 : x
  2. Step 2: Convert to fraction form
    95,385,728.25/206,617,831.88 = 206,617,831.88/x
  3. Step 3: Cross multiply
    95,385,728.25x = 206,617,831.88 × 206,617,831.88
  4. Step 4: Simplify right side
    95,385,728.25x = 42,690,928,448,725,768
  5. Step 5: Solve for x
    x = 42,690,928,448,725,768/95,385,728.25
  6. Step 6: Final answer
    x = 447,560,963.59

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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.