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Finding the Third Proportional to 44,901.84 and 105,796.13

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Solution

The third proportional to 44,901.84 and 105,796.13 is: 249,273.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,901.84 : 105,796.13 = 105,796.13 : x
  2. Step 2: Convert to fraction form
    44,901.84/105,796.13 = 105,796.13/x
  3. Step 3: Cross multiply
    44,901.84x = 105,796.13 × 105,796.13
  4. Step 4: Simplify right side
    44,901.84x = 11,192,820,065.02
  5. Step 5: Solve for x
    x = 11,192,820,065.02/44,901.84
  6. Step 6: Final answer
    x = 249,273.06

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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.