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Finding the Third Proportional to 51,829,694.50 and 119,989,019.50

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Solution

The third proportional to 51,829,694.50 and 119,989,019.50 is: 277,782,165.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,694.50 : 119,989,019.50 = 119,989,019.50 : x
  2. Step 2: Convert to fraction form
    51,829,694.50/119,989,019.50 = 119,989,019.50/x
  3. Step 3: Cross multiply
    51,829,694.50x = 119,989,019.50 × 119,989,019.50
  4. Step 4: Simplify right side
    51,829,694.50x = 14,397,364,800,571,380
  5. Step 5: Solve for x
    x = 14,397,364,800,571,380/51,829,694.50
  6. Step 6: Final answer
    x = 277,782,165.99

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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.