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Finding the Third Proportional to 161,203,446 and 349,776,101.25

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Solution

The third proportional to 161,203,446 and 349,776,101.25 is: 758,937,380.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,203,446 : 349,776,101.25 = 349,776,101.25 : x
  2. Step 2: Convert to fraction form
    161,203,446/349,776,101.25 = 349,776,101.25/x
  3. Step 3: Cross multiply
    161,203,446x = 349,776,101.25 × 349,776,101.25
  4. Step 4: Simplify right side
    161,203,446x = 122,343,321,005,650,256
  5. Step 5: Solve for x
    x = 122,343,321,005,650,256/161,203,446
  6. Step 6: Final answer
    x = 758,937,380.32

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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.