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Finding the Third Proportional to 101,889 and 223,461

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Solution

The third proportional to 101,889 and 223,461 is: 490,090.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,889 : 223,461 = 223,461 : x
  2. Step 2: Convert to fraction form
    101,889/223,461 = 223,461/x
  3. Step 3: Cross multiply
    101,889x = 223,461 × 223,461
  4. Step 4: Simplify right side
    101,889x = 49,934,818,521
  5. Step 5: Solve for x
    x = 49,934,818,521/101,889
  6. Step 6: Final answer
    x = 490,090.38

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.