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Finding the Third Proportional to 93,684 and 221,146

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Solution

The third proportional to 93,684 and 221,146 is: 522,026.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,684 : 221,146 = 221,146 : x
  2. Step 2: Convert to fraction form
    93,684/221,146 = 221,146/x
  3. Step 3: Cross multiply
    93,684x = 221,146 × 221,146
  4. Step 4: Simplify right side
    93,684x = 48,905,553,316
  5. Step 5: Solve for x
    x = 48,905,553,316/93,684
  6. Step 6: Final answer
    x = 522,026.74

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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.