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Finding the Third Proportional to 95,903 and 210,841

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Solution

The third proportional to 95,903 and 210,841 is: 463,530.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,903 : 210,841 = 210,841 : x
  2. Step 2: Convert to fraction form
    95,903/210,841 = 210,841/x
  3. Step 3: Cross multiply
    95,903x = 210,841 × 210,841
  4. Step 4: Simplify right side
    95,903x = 44,453,927,281
  5. Step 5: Solve for x
    x = 44,453,927,281/95,903
  6. Step 6: Final answer
    x = 463,530.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.