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Finding the Third Proportional to 98,632.69 and 215,915.63

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Solution

The third proportional to 98,632.69 and 215,915.63 is: 472,658.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,632.69 : 215,915.63 = 215,915.63 : x
  2. Step 2: Convert to fraction form
    98,632.69/215,915.63 = 215,915.63/x
  3. Step 3: Cross multiply
    98,632.69x = 215,915.63 × 215,915.63
  4. Step 4: Simplify right side
    98,632.69x = 46,619,557,119.14
  5. Step 5: Solve for x
    x = 46,619,557,119.14/98,632.69
  6. Step 6: Final answer
    x = 472,658.29

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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.