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Finding the Third Proportional to 93,806 and 197,332

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Solution

The third proportional to 93,806 and 197,332 is: 415,111.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,806 : 197,332 = 197,332 : x
  2. Step 2: Convert to fraction form
    93,806/197,332 = 197,332/x
  3. Step 3: Cross multiply
    93,806x = 197,332 × 197,332
  4. Step 4: Simplify right side
    93,806x = 38,939,918,224
  5. Step 5: Solve for x
    x = 38,939,918,224/93,806
  6. Step 6: Final answer
    x = 415,111.17

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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.