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Finding the Third Proportional to 55,638,508.50 and 119,504,025

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Solution

The third proportional to 55,638,508.50 and 119,504,025 is: 256,678,555.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,638,508.50 : 119,504,025 = 119,504,025 : x
  2. Step 2: Convert to fraction form
    55,638,508.50/119,504,025 = 119,504,025/x
  3. Step 3: Cross multiply
    55,638,508.50x = 119,504,025 × 119,504,025
  4. Step 4: Simplify right side
    55,638,508.50x = 14,281,211,991,200,624
  5. Step 5: Solve for x
    x = 14,281,211,991,200,624/55,638,508.50
  6. Step 6: Final answer
    x = 256,678,555.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.