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Finding the Third Proportional to 105,844.13 and 226,254.75

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Solution

The third proportional to 105,844.13 and 226,254.75 is: 483,647.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,844.13 : 226,254.75 = 226,254.75 : x
  2. Step 2: Convert to fraction form
    105,844.13/226,254.75 = 226,254.75/x
  3. Step 3: Cross multiply
    105,844.13x = 226,254.75 × 226,254.75
  4. Step 4: Simplify right side
    105,844.13x = 51,191,211,897.56
  5. Step 5: Solve for x
    x = 51,191,211,897.56/105,844.13
  6. Step 6: Final answer
    x = 483,647.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.