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Finding the Third Proportional to 98,626.50 and 215,705.25

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Solution

The third proportional to 98,626.50 and 215,705.25 is: 471,767.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,626.50 : 215,705.25 = 215,705.25 : x
  2. Step 2: Convert to fraction form
    98,626.50/215,705.25 = 215,705.25/x
  3. Step 3: Cross multiply
    98,626.50x = 215,705.25 × 215,705.25
  4. Step 4: Simplify right side
    98,626.50x = 46,528,754,877.56
  5. Step 5: Solve for x
    x = 46,528,754,877.56/98,626.50
  6. Step 6: Final answer
    x = 471,767.27

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.