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Finding the Third Proportional to 225,607,488 and 304,397,472

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Solution

The third proportional to 225,607,488 and 304,397,472 is: 410,703,659.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,607,488 : 304,397,472 = 304,397,472 : x
  2. Step 2: Convert to fraction form
    225,607,488/304,397,472 = 304,397,472/x
  3. Step 3: Cross multiply
    225,607,488x = 304,397,472 × 304,397,472
  4. Step 4: Simplify right side
    225,607,488x = 92,657,820,959,990,784
  5. Step 5: Solve for x
    x = 92,657,820,959,990,784/225,607,488
  6. Step 6: Final answer
    x = 410,703,659.62

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.