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Finding the Third Proportional to 44,469 and 104,970.94

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Solution

The third proportional to 44,469 and 104,970.94 is: 247,788.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,469 : 104,970.94 = 104,970.94 : x
  2. Step 2: Convert to fraction form
    44,469/104,970.94 = 104,970.94/x
  3. Step 3: Cross multiply
    44,469x = 104,970.94 × 104,970.94
  4. Step 4: Simplify right side
    44,469x = 11,018,897,719.63
  5. Step 5: Solve for x
    x = 11,018,897,719.63/44,469
  6. Step 6: Final answer
    x = 247,788.30

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.