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Finding the Third Proportional to 104,841,511 and 164,107,029

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Solution

The third proportional to 104,841,511 and 164,107,029 is: 256,874,559.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,841,511 : 164,107,029 = 164,107,029 : x
  2. Step 2: Convert to fraction form
    104,841,511/164,107,029 = 164,107,029/x
  3. Step 3: Cross multiply
    104,841,511x = 164,107,029 × 164,107,029
  4. Step 4: Simplify right side
    104,841,511x = 26,931,116,967,206,840
  5. Step 5: Solve for x
    x = 26,931,116,967,206,840/104,841,511
  6. Step 6: Final answer
    x = 256,874,559.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.