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Finding the Third Proportional to 82,982,504 and 121,783,302

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Solution

The third proportional to 82,982,504 and 121,783,302 is: 178,726,501.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,982,504 : 121,783,302 = 121,783,302 : x
  2. Step 2: Convert to fraction form
    82,982,504/121,783,302 = 121,783,302/x
  3. Step 3: Cross multiply
    82,982,504x = 121,783,302 × 121,783,302
  4. Step 4: Simplify right side
    82,982,504x = 14,831,172,646,023,204
  5. Step 5: Solve for x
    x = 14,831,172,646,023,204/82,982,504
  6. Step 6: Final answer
    x = 178,726,501.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.