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Finding the Third Proportional to 99,624 and 214,991

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Solution

The third proportional to 99,624 and 214,991 is: 463,955.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,624 : 214,991 = 214,991 : x
  2. Step 2: Convert to fraction form
    99,624/214,991 = 214,991/x
  3. Step 3: Cross multiply
    99,624x = 214,991 × 214,991
  4. Step 4: Simplify right side
    99,624x = 46,221,130,081
  5. Step 5: Solve for x
    x = 46,221,130,081/99,624
  6. Step 6: Final answer
    x = 463,955.77

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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.