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Finding the Third Proportional to 288,381,114 and 446,820,867

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Solution

The third proportional to 288,381,114 and 446,820,867 is: 692,309,161.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,381,114 : 446,820,867 = 446,820,867 : x
  2. Step 2: Convert to fraction form
    288,381,114/446,820,867 = 446,820,867/x
  3. Step 3: Cross multiply
    288,381,114x = 446,820,867 × 446,820,867
  4. Step 4: Simplify right side
    288,381,114x = 199,648,887,186,631,680
  5. Step 5: Solve for x
    x = 199,648,887,186,631,680/288,381,114
  6. Step 6: Final answer
    x = 692,309,161.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.