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Finding the Third Proportional to 40,230 and 88,492.50

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Solution

The third proportional to 40,230 and 88,492.50 is: 194,653.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,230 : 88,492.50 = 88,492.50 : x
  2. Step 2: Convert to fraction form
    40,230/88,492.50 = 88,492.50/x
  3. Step 3: Cross multiply
    40,230x = 88,492.50 × 88,492.50
  4. Step 4: Simplify right side
    40,230x = 7,830,922,556.25
  5. Step 5: Solve for x
    x = 7,830,922,556.25/40,230
  6. Step 6: Final answer
    x = 194,653.80

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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.