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Finding the Third Proportional to 109,805.63 and 229,142.25

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Solution

The third proportional to 109,805.63 and 229,142.25 is: 478,173.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,805.63 : 229,142.25 = 229,142.25 : x
  2. Step 2: Convert to fraction form
    109,805.63/229,142.25 = 229,142.25/x
  3. Step 3: Cross multiply
    109,805.63x = 229,142.25 × 229,142.25
  4. Step 4: Simplify right side
    109,805.63x = 52,506,170,735.06
  5. Step 5: Solve for x
    x = 52,506,170,735.06/109,805.63
  6. Step 6: Final answer
    x = 478,173.78

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.