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Finding the Third Proportional to 108,723 and 233,515.50

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Solution

The third proportional to 108,723 and 233,515.50 is: 501,545.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,723 : 233,515.50 = 233,515.50 : x
  2. Step 2: Convert to fraction form
    108,723/233,515.50 = 233,515.50/x
  3. Step 3: Cross multiply
    108,723x = 233,515.50 × 233,515.50
  4. Step 4: Simplify right side
    108,723x = 54,529,488,740.25
  5. Step 5: Solve for x
    x = 54,529,488,740.25/108,723
  6. Step 6: Final answer
    x = 501,545.11

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