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Finding the Third Proportional to 49,193,653.50 and 107,654,355

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Solution

The third proportional to 49,193,653.50 and 107,654,355 is: 235,588,522.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,193,653.50 : 107,654,355 = 107,654,355 : x
  2. Step 2: Convert to fraction form
    49,193,653.50/107,654,355 = 107,654,355/x
  3. Step 3: Cross multiply
    49,193,653.50x = 107,654,355 × 107,654,355
  4. Step 4: Simplify right side
    49,193,653.50x = 11,589,460,150,466,024
  5. Step 5: Solve for x
    x = 11,589,460,150,466,024/49,193,653.50
  6. Step 6: Final answer
    x = 235,588,522.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.