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Finding the Third Proportional to 99,498 and 214,748

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Solution

The third proportional to 99,498 and 214,748 is: 463,493.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,498 : 214,748 = 214,748 : x
  2. Step 2: Convert to fraction form
    99,498/214,748 = 214,748/x
  3. Step 3: Cross multiply
    99,498x = 214,748 × 214,748
  4. Step 4: Simplify right side
    99,498x = 46,116,703,504
  5. Step 5: Solve for x
    x = 46,116,703,504/99,498
  6. Step 6: Final answer
    x = 463,493.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.