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Finding the Third Proportional to 108,142.50 and 236,647.50

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Solution

The third proportional to 108,142.50 and 236,647.50 is: 517,854.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,142.50 : 236,647.50 = 236,647.50 : x
  2. Step 2: Convert to fraction form
    108,142.50/236,647.50 = 236,647.50/x
  3. Step 3: Cross multiply
    108,142.50x = 236,647.50 × 236,647.50
  4. Step 4: Simplify right side
    108,142.50x = 56,002,039,256.25
  5. Step 5: Solve for x
    x = 56,002,039,256.25/108,142.50
  6. Step 6: Final answer
    x = 517,854.12

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.