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Finding the Third Proportional to 103,637 and 223,816

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Solution

The third proportional to 103,637 and 223,816 is: 483,356.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,637 : 223,816 = 223,816 : x
  2. Step 2: Convert to fraction form
    103,637/223,816 = 223,816/x
  3. Step 3: Cross multiply
    103,637x = 223,816 × 223,816
  4. Step 4: Simplify right side
    103,637x = 50,093,601,856
  5. Step 5: Solve for x
    x = 50,093,601,856/103,637
  6. Step 6: Final answer
    x = 483,356.35

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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.