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Finding the Third Proportional to 196,298,331 and 412,903,686

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Solution

The third proportional to 196,298,331 and 412,903,686 is: 868,522,177.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,298,331 : 412,903,686 = 412,903,686 : x
  2. Step 2: Convert to fraction form
    196,298,331/412,903,686 = 412,903,686/x
  3. Step 3: Cross multiply
    196,298,331x = 412,903,686 × 412,903,686
  4. Step 4: Simplify right side
    196,298,331x = 170,489,453,912,386,592
  5. Step 5: Solve for x
    x = 170,489,453,912,386,592/196,298,331
  6. Step 6: Final answer
    x = 868,522,177.67

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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.