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Finding the Third Proportional to 106,681.50 and 229,563

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Solution

The third proportional to 106,681.50 and 229,563 is: 493,986.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,681.50 : 229,563 = 229,563 : x
  2. Step 2: Convert to fraction form
    106,681.50/229,563 = 229,563/x
  3. Step 3: Cross multiply
    106,681.50x = 229,563 × 229,563
  4. Step 4: Simplify right side
    106,681.50x = 52,699,170,969
  5. Step 5: Solve for x
    x = 52,699,170,969/106,681.50
  6. Step 6: Final answer
    x = 493,986.03

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.