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Finding the Third Proportional to 51,829,182.50 and 119,987,733.50

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Solution

The third proportional to 51,829,182.50 and 119,987,733.50 is: 277,778,955.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,182.50 : 119,987,733.50 = 119,987,733.50 : x
  2. Step 2: Convert to fraction form
    51,829,182.50/119,987,733.50 = 119,987,733.50/x
  3. Step 3: Cross multiply
    51,829,182.50x = 119,987,733.50 × 119,987,733.50
  4. Step 4: Simplify right side
    51,829,182.50x = 14,397,056,190,467,022
  5. Step 5: Solve for x
    x = 14,397,056,190,467,022/51,829,182.50
  6. Step 6: Final answer
    x = 277,778,955.72

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.