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Finding the Third Proportional to 281,970,904 and 431,060,864

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Solution

The third proportional to 281,970,904 and 431,060,864 is: 658,981,000.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,970,904 : 431,060,864 = 431,060,864 : x
  2. Step 2: Convert to fraction form
    281,970,904/431,060,864 = 431,060,864/x
  3. Step 3: Cross multiply
    281,970,904x = 431,060,864 × 431,060,864
  4. Step 4: Simplify right side
    281,970,904x = 185,813,468,472,426,496
  5. Step 5: Solve for x
    x = 185,813,468,472,426,496/281,970,904
  6. Step 6: Final answer
    x = 658,981,000.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.