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Finding the Third Proportional to 98,633 and 215,717

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Solution

The third proportional to 98,633 and 215,717 is: 471,787.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,633 : 215,717 = 215,717 : x
  2. Step 2: Convert to fraction form
    98,633/215,717 = 215,717/x
  3. Step 3: Cross multiply
    98,633x = 215,717 × 215,717
  4. Step 4: Simplify right side
    98,633x = 46,533,824,089
  5. Step 5: Solve for x
    x = 46,533,824,089/98,633
  6. Step 6: Final answer
    x = 471,787.58

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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.