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Finding the Third Proportional to 169,796,497 and 269,298,074

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Solution

The third proportional to 169,796,497 and 269,298,074 is: 427,108,061.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,796,497 : 269,298,074 = 269,298,074 : x
  2. Step 2: Convert to fraction form
    169,796,497/269,298,074 = 269,298,074/x
  3. Step 3: Cross multiply
    169,796,497x = 269,298,074 × 269,298,074
  4. Step 4: Simplify right side
    169,796,497x = 72,521,452,660,109,472
  5. Step 5: Solve for x
    x = 72,521,452,660,109,472/169,796,497
  6. Step 6: Final answer
    x = 427,108,061.36

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.