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Finding the Third Proportional to 98,636 and 215,724

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Solution

The third proportional to 98,636 and 215,724 is: 471,803.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,636 : 215,724 = 215,724 : x
  2. Step 2: Convert to fraction form
    98,636/215,724 = 215,724/x
  3. Step 3: Cross multiply
    98,636x = 215,724 × 215,724
  4. Step 4: Simplify right side
    98,636x = 46,536,844,176
  5. Step 5: Solve for x
    x = 46,536,844,176/98,636
  6. Step 6: Final answer
    x = 471,803.85

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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.