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Finding the Third Proportional to 81,199,176 and 110,598,252

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Solution

The third proportional to 81,199,176 and 110,598,252 is: 150,641,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,199,176 : 110,598,252 = 110,598,252 : x
  2. Step 2: Convert to fraction form
    81,199,176/110,598,252 = 110,598,252/x
  3. Step 3: Cross multiply
    81,199,176x = 110,598,252 × 110,598,252
  4. Step 4: Simplify right side
    81,199,176x = 12,231,973,345,455,504
  5. Step 5: Solve for x
    x = 12,231,973,345,455,504/81,199,176
  6. Step 6: Final answer
    x = 150,641,594.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.