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Finding the Third Proportional to 196,298,534 and 412,904,128

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Solution

The third proportional to 196,298,534 and 412,904,128 is: 868,523,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,298,534 : 412,904,128 = 412,904,128 : x
  2. Step 2: Convert to fraction form
    196,298,534/412,904,128 = 412,904,128/x
  3. Step 3: Cross multiply
    196,298,534x = 412,904,128 × 412,904,128
  4. Step 4: Simplify right side
    196,298,534x = 170,489,818,919,440,384
  5. Step 5: Solve for x
    x = 170,489,818,919,440,384/196,298,534
  6. Step 6: Final answer
    x = 868,523,138.94

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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.