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Finding the Third Proportional to 104,409,024 and 217,393,411.13

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Solution

The third proportional to 104,409,024 and 217,393,411.13 is: 452,641,863.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,409,024 : 217,393,411.13 = 217,393,411.13 : x
  2. Step 2: Convert to fraction form
    104,409,024/217,393,411.13 = 217,393,411.13/x
  3. Step 3: Cross multiply
    104,409,024x = 217,393,411.13 × 217,393,411.13
  4. Step 4: Simplify right side
    104,409,024x = 47,259,895,200,563,272
  5. Step 5: Solve for x
    x = 47,259,895,200,563,272/104,409,024
  6. Step 6: Final answer
    x = 452,641,863.61

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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.