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Finding the Third Proportional to 98,466 and 214,755

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Solution

The third proportional to 98,466 and 214,755 is: 468,382.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,466 : 214,755 = 214,755 : x
  2. Step 2: Convert to fraction form
    98,466/214,755 = 214,755/x
  3. Step 3: Cross multiply
    98,466x = 214,755 × 214,755
  4. Step 4: Simplify right side
    98,466x = 46,119,710,025
  5. Step 5: Solve for x
    x = 46,119,710,025/98,466
  6. Step 6: Final answer
    x = 468,382.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.