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Finding the Third Proportional to 185,640,562.13 and 393,410,555.44

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Solution

The third proportional to 185,640,562.13 and 393,410,555.44 is: 833,717,929.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,640,562.13 : 393,410,555.44 = 393,410,555.44 : x
  2. Step 2: Convert to fraction form
    185,640,562.13/393,410,555.44 = 393,410,555.44/x
  3. Step 3: Cross multiply
    185,640,562.13x = 393,410,555.44 × 393,410,555.44
  4. Step 4: Simplify right side
    185,640,562.13x = 154,771,865,129,642,272
  5. Step 5: Solve for x
    x = 154,771,865,129,642,272/185,640,562.13
  6. Step 6: Final answer
    x = 833,717,929.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.