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Finding the Third Proportional to 66,192.19 and 143,858.53

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Solution

The third proportional to 66,192.19 and 143,858.53 is: 312,654.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,192.19 : 143,858.53 = 143,858.53 : x
  2. Step 2: Convert to fraction form
    66,192.19/143,858.53 = 143,858.53/x
  3. Step 3: Cross multiply
    66,192.19x = 143,858.53 × 143,858.53
  4. Step 4: Simplify right side
    66,192.19x = 20,695,277,013.41
  5. Step 5: Solve for x
    x = 20,695,277,013.41/66,192.19
  6. Step 6: Final answer
    x = 312,654.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.