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Finding the Third Proportional to 120,808,050 and 261,771,492

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Solution

The third proportional to 120,808,050 and 261,771,492 is: 567,216,456.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,808,050 : 261,771,492 = 261,771,492 : x
  2. Step 2: Convert to fraction form
    120,808,050/261,771,492 = 261,771,492/x
  3. Step 3: Cross multiply
    120,808,050x = 261,771,492 × 261,771,492
  4. Step 4: Simplify right side
    120,808,050x = 68,524,314,023,906,064
  5. Step 5: Solve for x
    x = 68,524,314,023,906,064/120,808,050
  6. Step 6: Final answer
    x = 567,216,456.39

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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.