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Finding the Third Proportional to 52,332,364,717.50 and 114,136,336,695

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Solution

The third proportional to 52,332,364,717.50 and 114,136,336,695 is: 248,930,149,143.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,332,364,717.50 : 114,136,336,695 = 114,136,336,695 : x
  2. Step 2: Convert to fraction form
    52,332,364,717.50/114,136,336,695 = 114,136,336,695/x
  3. Step 3: Cross multiply
    52,332,364,717.50x = 114,136,336,695 × 114,136,336,695
  4. Step 4: Simplify right side
    52,332,364,717.50x = 13,027,103,354,154,404,282,368
  5. Step 5: Solve for x
    x = 13,027,103,354,154,404,282,368/52,332,364,717.50
  6. Step 6: Final answer
    x = 248,930,149,143.41

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.