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Finding the Third Proportional to 226,572,378.75 and 349,867,401.75

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Solution

The third proportional to 226,572,378.75 and 349,867,401.75 is: 540,256,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,378.75 : 349,867,401.75 = 349,867,401.75 : x
  2. Step 2: Convert to fraction form
    226,572,378.75/349,867,401.75 = 349,867,401.75/x
  3. Step 3: Cross multiply
    226,572,378.75x = 349,867,401.75 × 349,867,401.75
  4. Step 4: Simplify right side
    226,572,378.75x = 122,407,198,807,295,904
  5. Step 5: Solve for x
    x = 122,407,198,807,295,904/226,572,378.75
  6. Step 6: Final answer
    x = 540,256,493.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.