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Finding the Third Proportional to 258,751,742 and 561,161,466

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Solution

The third proportional to 258,751,742 and 561,161,466 is: 1,217,005,104.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,751,742 : 561,161,466 = 561,161,466 : x
  2. Step 2: Convert to fraction form
    258,751,742/561,161,466 = 561,161,466/x
  3. Step 3: Cross multiply
    258,751,742x = 561,161,466 × 561,161,466
  4. Step 4: Simplify right side
    258,751,742x = 314,902,190,923,269,184
  5. Step 5: Solve for x
    x = 314,902,190,923,269,184/258,751,742
  6. Step 6: Final answer
    x = 1,217,005,104.93

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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.