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Finding the Third Proportional to 94,837,575,524 and 206,204,462,076

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Solution

The third proportional to 94,837,575,524 and 206,204,462,076 is: 448,348,452,025.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,837,575,524 : 206,204,462,076 = 206,204,462,076 : x
  2. Step 2: Convert to fraction form
    94,837,575,524/206,204,462,076 = 206,204,462,076/x
  3. Step 3: Cross multiply
    94,837,575,524x = 206,204,462,076 × 206,204,462,076
  4. Step 4: Simplify right side
    94,837,575,524x = 42,520,280,180,052,520,337,408
  5. Step 5: Solve for x
    x = 42,520,280,180,052,520,337,408/94,837,575,524
  6. Step 6: Final answer
    x = 448,348,452,025.67

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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.