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Finding the Third Proportional to 119,800,878 and 171,198,227

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Solution

The third proportional to 119,800,878 and 171,198,227 is: 244,646,228.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,800,878 : 171,198,227 = 171,198,227 : x
  2. Step 2: Convert to fraction form
    119,800,878/171,198,227 = 171,198,227/x
  3. Step 3: Cross multiply
    119,800,878x = 171,198,227 × 171,198,227
  4. Step 4: Simplify right side
    119,800,878x = 29,308,832,927,943,528
  5. Step 5: Solve for x
    x = 29,308,832,927,943,528/119,800,878
  6. Step 6: Final answer
    x = 244,646,228.12

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.