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Finding the Third Proportional to 93,944 and 197,119.50

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Solution

The third proportional to 93,944 and 197,119.50 is: 413,609.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,944 : 197,119.50 = 197,119.50 : x
  2. Step 2: Convert to fraction form
    93,944/197,119.50 = 197,119.50/x
  3. Step 3: Cross multiply
    93,944x = 197,119.50 × 197,119.50
  4. Step 4: Simplify right side
    93,944x = 38,856,097,280.25
  5. Step 5: Solve for x
    x = 38,856,097,280.25/93,944
  6. Step 6: Final answer
    x = 413,609.14

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.