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Finding the Third Proportional to 102,991,688 and 214,449,296

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Solution

The third proportional to 102,991,688 and 214,449,296 is: 446,526,330.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,991,688 : 214,449,296 = 214,449,296 : x
  2. Step 2: Convert to fraction form
    102,991,688/214,449,296 = 214,449,296/x
  3. Step 3: Cross multiply
    102,991,688x = 214,449,296 × 214,449,296
  4. Step 4: Simplify right side
    102,991,688x = 45,988,500,554,895,616
  5. Step 5: Solve for x
    x = 45,988,500,554,895,616/102,991,688
  6. Step 6: Final answer
    x = 446,526,330.89

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.