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Finding the Third Proportional to 196,298,536 and 412,904,132

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Solution

The third proportional to 196,298,536 and 412,904,132 is: 868,523,146.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,298,536 : 412,904,132 = 412,904,132 : x
  2. Step 2: Convert to fraction form
    196,298,536/412,904,132 = 412,904,132/x
  3. Step 3: Cross multiply
    196,298,536x = 412,904,132 × 412,904,132
  4. Step 4: Simplify right side
    196,298,536x = 170,489,822,222,673,408
  5. Step 5: Solve for x
    x = 170,489,822,222,673,408/196,298,536
  6. Step 6: Final answer
    x = 868,523,146.92

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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.