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Finding the Third Proportional to 86,384,569 and 122,231,521

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Solution

The third proportional to 86,384,569 and 122,231,521 is: 172,953,860.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,384,569 : 122,231,521 = 122,231,521 : x
  2. Step 2: Convert to fraction form
    86,384,569/122,231,521 = 122,231,521/x
  3. Step 3: Cross multiply
    86,384,569x = 122,231,521 × 122,231,521
  4. Step 4: Simplify right side
    86,384,569x = 14,940,544,725,973,440
  5. Step 5: Solve for x
    x = 14,940,544,725,973,440/86,384,569
  6. Step 6: Final answer
    x = 172,953,860.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.