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Finding the Third Proportional to 47,759,522.91 and 102,330,211.78

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Solution

The third proportional to 47,759,522.91 and 102,330,211.78 is: 219,254,121.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,759,522.91 : 102,330,211.78 = 102,330,211.78 : x
  2. Step 2: Convert to fraction form
    47,759,522.91/102,330,211.78 = 102,330,211.78/x
  3. Step 3: Cross multiply
    47,759,522.91x = 102,330,211.78 × 102,330,211.78
  4. Step 4: Simplify right side
    47,759,522.91x = 10,471,472,243,195,476
  5. Step 5: Solve for x
    x = 10,471,472,243,195,476/47,759,522.91
  6. Step 6: Final answer
    x = 219,254,121.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.