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Finding the Third Proportional to 108,938.50 and 235,973

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Solution

The third proportional to 108,938.50 and 235,973 is: 511,143.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,938.50 : 235,973 = 235,973 : x
  2. Step 2: Convert to fraction form
    108,938.50/235,973 = 235,973/x
  3. Step 3: Cross multiply
    108,938.50x = 235,973 × 235,973
  4. Step 4: Simplify right side
    108,938.50x = 55,683,256,729
  5. Step 5: Solve for x
    x = 55,683,256,729/108,938.50
  6. Step 6: Final answer
    x = 511,143.96

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.