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Finding the Third Proportional to 55,254,576.75 and 120,311,874.75

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Solution

The third proportional to 55,254,576.75 and 120,311,874.75 is: 261,968,293.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,254,576.75 : 120,311,874.75 = 120,311,874.75 : x
  2. Step 2: Convert to fraction form
    55,254,576.75/120,311,874.75 = 120,311,874.75/x
  3. Step 3: Cross multiply
    55,254,576.75x = 120,311,874.75 × 120,311,874.75
  4. Step 4: Simplify right side
    55,254,576.75x = 14,474,947,205,859,688
  5. Step 5: Solve for x
    x = 14,474,947,205,859,688/55,254,576.75
  6. Step 6: Final answer
    x = 261,968,293.98

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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.