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Finding the Third Proportional to 51,238,434 and 110,641,476

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Solution

The third proportional to 51,238,434 and 110,641,476 is: 238,913,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,238,434 : 110,641,476 = 110,641,476 : x
  2. Step 2: Convert to fraction form
    51,238,434/110,641,476 = 110,641,476/x
  3. Step 3: Cross multiply
    51,238,434x = 110,641,476 × 110,641,476
  4. Step 4: Simplify right side
    51,238,434x = 12,241,536,211,458,576
  5. Step 5: Solve for x
    x = 12,241,536,211,458,576/51,238,434
  6. Step 6: Final answer
    x = 238,913,160.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.