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Finding the Third Proportional to 99,575 and 214,997

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Solution

The third proportional to 99,575 and 214,997 is: 464,209.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,575 : 214,997 = 214,997 : x
  2. Step 2: Convert to fraction form
    99,575/214,997 = 214,997/x
  3. Step 3: Cross multiply
    99,575x = 214,997 × 214,997
  4. Step 4: Simplify right side
    99,575x = 46,223,710,009
  5. Step 5: Solve for x
    x = 46,223,710,009/99,575
  6. Step 6: Final answer
    x = 464,209.99

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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.