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Finding the Third Proportional to 81,233,451 and 128,733,972.75

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Solution

The third proportional to 81,233,451 and 128,733,972.75 is: 204,009,992.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,233,451 : 128,733,972.75 = 128,733,972.75 : x
  2. Step 2: Convert to fraction form
    81,233,451/128,733,972.75 = 128,733,972.75/x
  3. Step 3: Cross multiply
    81,233,451x = 128,733,972.75 × 128,733,972.75
  4. Step 4: Simplify right side
    81,233,451x = 16,572,435,739,997,742
  5. Step 5: Solve for x
    x = 16,572,435,739,997,742/81,233,451
  6. Step 6: Final answer
    x = 204,009,992.63

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.