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Finding the Third Proportional to 218,920,074 and 475,945,464

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Solution

The third proportional to 218,920,074 and 475,945,464 is: 1,034,734,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,920,074 : 475,945,464 = 475,945,464 : x
  2. Step 2: Convert to fraction form
    218,920,074/475,945,464 = 475,945,464/x
  3. Step 3: Cross multiply
    218,920,074x = 475,945,464 × 475,945,464
  4. Step 4: Simplify right side
    218,920,074x = 226,524,084,702,175,296
  5. Step 5: Solve for x
    x = 226,524,084,702,175,296/218,920,074
  6. Step 6: Final answer
    x = 1,034,734,186.61

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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.