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Finding the Third Proportional to 51,391,738.41 and 110,974,429.69

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Solution

The third proportional to 51,391,738.41 and 110,974,429.69 is: 239,636,261.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,391,738.41 : 110,974,429.69 = 110,974,429.69 : x
  2. Step 2: Convert to fraction form
    51,391,738.41/110,974,429.69 = 110,974,429.69/x
  3. Step 3: Cross multiply
    51,391,738.41x = 110,974,429.69 × 110,974,429.69
  4. Step 4: Simplify right side
    51,391,738.41x = 12,315,324,044,465,882
  5. Step 5: Solve for x
    x = 12,315,324,044,465,882/51,391,738.41
  6. Step 6: Final answer
    x = 239,636,261.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.