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Finding the Third Proportional to 88,710 and 193,984

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Solution

The third proportional to 88,710 and 193,984 is: 424,188.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,710 : 193,984 = 193,984 : x
  2. Step 2: Convert to fraction form
    88,710/193,984 = 193,984/x
  3. Step 3: Cross multiply
    88,710x = 193,984 × 193,984
  4. Step 4: Simplify right side
    88,710x = 37,629,792,256
  5. Step 5: Solve for x
    x = 37,629,792,256/88,710
  6. Step 6: Final answer
    x = 424,188.84

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Why These Related Problems?

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