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Finding the Third Proportional to 93,670 and 221,113

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Solution

The third proportional to 93,670 and 221,113 is: 521,948.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,670 : 221,113 = 221,113 : x
  2. Step 2: Convert to fraction form
    93,670/221,113 = 221,113/x
  3. Step 3: Cross multiply
    93,670x = 221,113 × 221,113
  4. Step 4: Simplify right side
    93,670x = 48,890,958,769
  5. Step 5: Solve for x
    x = 48,890,958,769/93,670
  6. Step 6: Final answer
    x = 521,948.96

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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.