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Finding the Third Proportional to 103,437.56 and 223,203.87

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Solution

The third proportional to 103,437.56 and 223,203.87 is: 481,642.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,437.56 : 223,203.87 = 223,203.87 : x
  2. Step 2: Convert to fraction form
    103,437.56/223,203.87 = 223,203.87/x
  3. Step 3: Cross multiply
    103,437.56x = 223,203.87 × 223,203.87
  4. Step 4: Simplify right side
    103,437.56x = 49,819,966,327.46
  5. Step 5: Solve for x
    x = 49,819,966,327.46/103,437.56
  6. Step 6: Final answer
    x = 481,642.89

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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.