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Finding the Third Proportional to 88,158 and 193,470

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Solution

The third proportional to 88,158 and 193,470 is: 424,585.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,158 : 193,470 = 193,470 : x
  2. Step 2: Convert to fraction form
    88,158/193,470 = 193,470/x
  3. Step 3: Cross multiply
    88,158x = 193,470 × 193,470
  4. Step 4: Simplify right side
    88,158x = 37,430,640,900
  5. Step 5: Solve for x
    x = 37,430,640,900/88,158
  6. Step 6: Final answer
    x = 424,585.87

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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.