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Finding the Third Proportional to 66,492.14 and 99,804.66

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Solution

The third proportional to 66,492.14 and 99,804.66 is: 149,806.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,492.14 : 99,804.66 = 99,804.66 : x
  2. Step 2: Convert to fraction form
    66,492.14/99,804.66 = 99,804.66/x
  3. Step 3: Cross multiply
    66,492.14x = 99,804.66 × 99,804.66
  4. Step 4: Simplify right side
    66,492.14x = 9,960,969,409.18
  5. Step 5: Solve for x
    x = 9,960,969,409.18/66,492.14
  6. Step 6: Final answer
    x = 149,806.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.