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Finding the Third Proportional to 88,698 and 191,611.50

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Solution

The third proportional to 88,698 and 191,611.50 is: 413,932.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,698 : 191,611.50 = 191,611.50 : x
  2. Step 2: Convert to fraction form
    88,698/191,611.50 = 191,611.50/x
  3. Step 3: Cross multiply
    88,698x = 191,611.50 × 191,611.50
  4. Step 4: Simplify right side
    88,698x = 36,714,966,932.25
  5. Step 5: Solve for x
    x = 36,714,966,932.25/88,698
  6. Step 6: Final answer
    x = 413,932.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.