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Finding the Third Proportional to 114,575,840 and 234,446,408

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Solution

The third proportional to 114,575,840 and 234,446,408 is: 479,726,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,575,840 : 234,446,408 = 234,446,408 : x
  2. Step 2: Convert to fraction form
    114,575,840/234,446,408 = 234,446,408/x
  3. Step 3: Cross multiply
    114,575,840x = 234,446,408 × 234,446,408
  4. Step 4: Simplify right side
    114,575,840x = 54,965,118,224,102,464
  5. Step 5: Solve for x
    x = 54,965,118,224,102,464/114,575,840
  6. Step 6: Final answer
    x = 479,726,949.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.