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Finding the Third Proportional to 98,597.25 and 215,601.75

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Solution

The third proportional to 98,597.25 and 215,601.75 is: 471,454.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,597.25 : 215,601.75 = 215,601.75 : x
  2. Step 2: Convert to fraction form
    98,597.25/215,601.75 = 215,601.75/x
  3. Step 3: Cross multiply
    98,597.25x = 215,601.75 × 215,601.75
  4. Step 4: Simplify right side
    98,597.25x = 46,484,114,603.06
  5. Step 5: Solve for x
    x = 46,484,114,603.06/98,597.25
  6. Step 6: Final answer
    x = 471,454.47

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Why These Related Problems?

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