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Finding the Third Proportional to 117,847,406.50 and 256,095,149

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Solution

The third proportional to 117,847,406.50 and 256,095,149 is: 556,522,432.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,847,406.50 : 256,095,149 = 256,095,149 : x
  2. Step 2: Convert to fraction form
    117,847,406.50/256,095,149 = 256,095,149/x
  3. Step 3: Cross multiply
    117,847,406.50x = 256,095,149 × 256,095,149
  4. Step 4: Simplify right side
    117,847,406.50x = 65,584,725,341,332,200
  5. Step 5: Solve for x
    x = 65,584,725,341,332,200/117,847,406.50
  6. Step 6: Final answer
    x = 556,522,432.60

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.