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Finding the Third Proportional to 98,639 and 215,737

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Solution

The third proportional to 98,639 and 215,737 is: 471,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,639 : 215,737 = 215,737 : x
  2. Step 2: Convert to fraction form
    98,639/215,737 = 215,737/x
  3. Step 3: Cross multiply
    98,639x = 215,737 × 215,737
  4. Step 4: Simplify right side
    98,639x = 46,542,453,169
  5. Step 5: Solve for x
    x = 46,542,453,169/98,639
  6. Step 6: Final answer
    x = 471,846.36

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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.