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Finding the Third Proportional to 66,354.19 and 99,797.06

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Solution

The third proportional to 66,354.19 and 99,797.06 is: 150,095.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,354.19 : 99,797.06 = 99,797.06 : x
  2. Step 2: Convert to fraction form
    66,354.19/99,797.06 = 99,797.06/x
  3. Step 3: Cross multiply
    66,354.19x = 99,797.06 × 99,797.06
  4. Step 4: Simplify right side
    66,354.19x = 9,959,453,683.63
  5. Step 5: Solve for x
    x = 9,959,453,683.63/66,354.19
  6. Step 6: Final answer
    x = 150,095.33

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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.