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Finding the Third Proportional to 98,820 and 216,093

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Solution

The third proportional to 98,820 and 216,093 is: 472,537.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,820 : 216,093 = 216,093 : x
  2. Step 2: Convert to fraction form
    98,820/216,093 = 216,093/x
  3. Step 3: Cross multiply
    98,820x = 216,093 × 216,093
  4. Step 4: Simplify right side
    98,820x = 46,696,184,649
  5. Step 5: Solve for x
    x = 46,696,184,649/98,820
  6. Step 6: Final answer
    x = 472,537.79

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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.