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Finding the Third Proportional to 226,572,381 and 349,867,403

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Solution

The third proportional to 226,572,381 and 349,867,403 is: 540,256,491.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,572,381 : 349,867,403 = 349,867,403 : x
  2. Step 2: Convert to fraction form
    226,572,381/349,867,403 = 349,867,403/x
  3. Step 3: Cross multiply
    226,572,381x = 349,867,403 × 349,867,403
  4. Step 4: Simplify right side
    226,572,381x = 122,407,199,681,964,416
  5. Step 5: Solve for x
    x = 122,407,199,681,964,416/226,572,381
  6. Step 6: Final answer
    x = 540,256,491.73

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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.