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Finding the Third Proportional to 88,957 and 195,410

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Solution

The third proportional to 88,957 and 195,410 is: 429,253.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,957 : 195,410 = 195,410 : x
  2. Step 2: Convert to fraction form
    88,957/195,410 = 195,410/x
  3. Step 3: Cross multiply
    88,957x = 195,410 × 195,410
  4. Step 4: Simplify right side
    88,957x = 38,185,068,100
  5. Step 5: Solve for x
    x = 38,185,068,100/88,957
  6. Step 6: Final answer
    x = 429,253.10

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.