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Finding the Third Proportional to 102,635,370 and 223,339,734

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Solution

The third proportional to 102,635,370 and 223,339,734 is: 485,998,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,635,370 : 223,339,734 = 223,339,734 : x
  2. Step 2: Convert to fraction form
    102,635,370/223,339,734 = 223,339,734/x
  3. Step 3: Cross multiply
    102,635,370x = 223,339,734 × 223,339,734
  4. Step 4: Simplify right side
    102,635,370x = 49,880,636,783,190,752
  5. Step 5: Solve for x
    x = 49,880,636,783,190,752/102,635,370
  6. Step 6: Final answer
    x = 485,998,508.93

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.