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Finding the Third Proportional to 98,352.56 and 144,302.06

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Solution

The third proportional to 98,352.56 and 144,302.06 is: 211,718.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,352.56 : 144,302.06 = 144,302.06 : x
  2. Step 2: Convert to fraction form
    98,352.56/144,302.06 = 144,302.06/x
  3. Step 3: Cross multiply
    98,352.56x = 144,302.06 × 144,302.06
  4. Step 4: Simplify right side
    98,352.56x = 20,823,085,241.75
  5. Step 5: Solve for x
    x = 20,823,085,241.75/98,352.56
  6. Step 6: Final answer
    x = 211,718.79

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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.