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Finding the Third Proportional to 88,735.50 and 193,023

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Solution

The third proportional to 88,735.50 and 193,023 is: 419,875.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,735.50 : 193,023 = 193,023 : x
  2. Step 2: Convert to fraction form
    88,735.50/193,023 = 193,023/x
  3. Step 3: Cross multiply
    88,735.50x = 193,023 × 193,023
  4. Step 4: Simplify right side
    88,735.50x = 37,257,878,529
  5. Step 5: Solve for x
    x = 37,257,878,529/88,735.50
  6. Step 6: Final answer
    x = 419,875.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.