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Finding the Third Proportional to 93,809 and 221,308

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Solution

The third proportional to 93,809 and 221,308 is: 522,095.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,809 : 221,308 = 221,308 : x
  2. Step 2: Convert to fraction form
    93,809/221,308 = 221,308/x
  3. Step 3: Cross multiply
    93,809x = 221,308 × 221,308
  4. Step 4: Simplify right side
    93,809x = 48,977,230,864
  5. Step 5: Solve for x
    x = 48,977,230,864/93,809
  6. Step 6: Final answer
    x = 522,095.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.