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Finding the Third Proportional to 102,342,674 and 221,691,460

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Solution

The third proportional to 102,342,674 and 221,691,460 is: 480,221,021.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,342,674 : 221,691,460 = 221,691,460 : x
  2. Step 2: Convert to fraction form
    102,342,674/221,691,460 = 221,691,460/x
  3. Step 3: Cross multiply
    102,342,674x = 221,691,460 × 221,691,460
  4. Step 4: Simplify right side
    102,342,674x = 49,147,103,436,931,600
  5. Step 5: Solve for x
    x = 49,147,103,436,931,600/102,342,674
  6. Step 6: Final answer
    x = 480,221,021.36

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.