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Finding the Third Proportional to 98,012.53 and 144,147.94

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Solution

The third proportional to 98,012.53 and 144,147.94 is: 211,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,012.53 : 144,147.94 = 144,147.94 : x
  2. Step 2: Convert to fraction form
    98,012.53/144,147.94 = 144,147.94/x
  3. Step 3: Cross multiply
    98,012.53x = 144,147.94 × 144,147.94
  4. Step 4: Simplify right side
    98,012.53x = 20,778,627,885.50
  5. Step 5: Solve for x
    x = 20,778,627,885.50/98,012.53
  6. Step 6: Final answer
    x = 211,999.71

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.