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Finding the Third Proportional to 106,206,444 and 164,026,296

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Solution

The third proportional to 106,206,444 and 164,026,296 is: 253,323,854.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,206,444 : 164,026,296 = 164,026,296 : x
  2. Step 2: Convert to fraction form
    106,206,444/164,026,296 = 164,026,296/x
  3. Step 3: Cross multiply
    106,206,444x = 164,026,296 × 164,026,296
  4. Step 4: Simplify right side
    106,206,444x = 26,904,625,779,479,616
  5. Step 5: Solve for x
    x = 26,904,625,779,479,616/106,206,444
  6. Step 6: Final answer
    x = 253,323,854.62

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.