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Finding the Third Proportional to 99,073.13 and 214,305.75

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Solution

The third proportional to 99,073.13 and 214,305.75 is: 463,566.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,073.13 : 214,305.75 = 214,305.75 : x
  2. Step 2: Convert to fraction form
    99,073.13/214,305.75 = 214,305.75/x
  3. Step 3: Cross multiply
    99,073.13x = 214,305.75 × 214,305.75
  4. Step 4: Simplify right side
    99,073.13x = 45,926,954,483.06
  5. Step 5: Solve for x
    x = 45,926,954,483.06/99,073.13
  6. Step 6: Final answer
    x = 463,566.22

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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.