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Finding the Third Proportional to 98,599.50 and 160,986

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Solution

The third proportional to 98,599.50 and 160,986 is: 262,846.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,599.50 : 160,986 = 160,986 : x
  2. Step 2: Convert to fraction form
    98,599.50/160,986 = 160,986/x
  3. Step 3: Cross multiply
    98,599.50x = 160,986 × 160,986
  4. Step 4: Simplify right side
    98,599.50x = 25,916,492,196
  5. Step 5: Solve for x
    x = 25,916,492,196/98,599.50
  6. Step 6: Final answer
    x = 262,846.08

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These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.