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Finding the Third Proportional to 93,924 and 203,770

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Solution

The third proportional to 93,924 and 203,770 is: 442,083.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,924 : 203,770 = 203,770 : x
  2. Step 2: Convert to fraction form
    93,924/203,770 = 203,770/x
  3. Step 3: Cross multiply
    93,924x = 203,770 × 203,770
  4. Step 4: Simplify right side
    93,924x = 41,522,212,900
  5. Step 5: Solve for x
    x = 41,522,212,900/93,924
  6. Step 6: Final answer
    x = 442,083.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.