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Finding the Third Proportional to 94,688 and 207,194

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Solution

The third proportional to 94,688 and 207,194 is: 453,376.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,688 : 207,194 = 207,194 : x
  2. Step 2: Convert to fraction form
    94,688/207,194 = 207,194/x
  3. Step 3: Cross multiply
    94,688x = 207,194 × 207,194
  4. Step 4: Simplify right side
    94,688x = 42,929,353,636
  5. Step 5: Solve for x
    x = 42,929,353,636/94,688
  6. Step 6: Final answer
    x = 453,376.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.