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Finding the Third Proportional to 99,459 and 214,798

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Solution

The third proportional to 99,459 and 214,798 is: 463,891.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,459 : 214,798 = 214,798 : x
  2. Step 2: Convert to fraction form
    99,459/214,798 = 214,798/x
  3. Step 3: Cross multiply
    99,459x = 214,798 × 214,798
  4. Step 4: Simplify right side
    99,459x = 46,138,180,804
  5. Step 5: Solve for x
    x = 46,138,180,804/99,459
  6. Step 6: Final answer
    x = 463,891.46

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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.