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Finding the Third Proportional to 93,944 and 197,730

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Solution

The third proportional to 93,944 and 197,730 is: 416,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,944 : 197,730 = 197,730 : x
  2. Step 2: Convert to fraction form
    93,944/197,730 = 197,730/x
  3. Step 3: Cross multiply
    93,944x = 197,730 × 197,730
  4. Step 4: Simplify right side
    93,944x = 39,097,152,900
  5. Step 5: Solve for x
    x = 39,097,152,900/93,944
  6. Step 6: Final answer
    x = 416,175.09

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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.