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Finding the Third Proportional to 102,200,625 and 153,263,404

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Solution

The third proportional to 102,200,625 and 153,263,404 is: 229,838,819.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,200,625 : 153,263,404 = 153,263,404 : x
  2. Step 2: Convert to fraction form
    102,200,625/153,263,404 = 153,263,404/x
  3. Step 3: Cross multiply
    102,200,625x = 153,263,404 × 153,263,404
  4. Step 4: Simplify right side
    102,200,625x = 23,489,671,005,667,216
  5. Step 5: Solve for x
    x = 23,489,671,005,667,216/102,200,625
  6. Step 6: Final answer
    x = 229,838,819.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.