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Finding the Third Proportional to 99,270 and 214,091

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Solution

The third proportional to 99,270 and 214,091 is: 461,720.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,270 : 214,091 = 214,091 : x
  2. Step 2: Convert to fraction form
    99,270/214,091 = 214,091/x
  3. Step 3: Cross multiply
    99,270x = 214,091 × 214,091
  4. Step 4: Simplify right side
    99,270x = 45,834,956,281
  5. Step 5: Solve for x
    x = 45,834,956,281/99,270
  6. Step 6: Final answer
    x = 461,720.12

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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.