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Finding the Third Proportional to 169,275,294.28 and 343,310,225.34

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Solution

The third proportional to 169,275,294.28 and 343,310,225.34 is: 696,273,554.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,275,294.28 : 343,310,225.34 = 343,310,225.34 : x
  2. Step 2: Convert to fraction form
    169,275,294.28/343,310,225.34 = 343,310,225.34/x
  3. Step 3: Cross multiply
    169,275,294.28x = 343,310,225.34 × 343,310,225.34
  4. Step 4: Simplify right side
    169,275,294.28x = 117,861,910,825,576,400
  5. Step 5: Solve for x
    x = 117,861,910,825,576,400/169,275,294.28
  6. Step 6: Final answer
    x = 696,273,554.43

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.