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Finding the Third Proportional to 51,829,712.50 and 119,989,064.50

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Solution

The third proportional to 51,829,712.50 and 119,989,064.50 is: 277,782,277.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,829,712.50 : 119,989,064.50 = 119,989,064.50 : x
  2. Step 2: Convert to fraction form
    51,829,712.50/119,989,064.50 = 119,989,064.50/x
  3. Step 3: Cross multiply
    51,829,712.50x = 119,989,064.50 × 119,989,064.50
  4. Step 4: Simplify right side
    51,829,712.50x = 14,397,375,599,585,160
  5. Step 5: Solve for x
    x = 14,397,375,599,585,160/51,829,712.50
  6. Step 6: Final answer
    x = 277,782,277.87

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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.