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Finding the Third Proportional to 218,667,752,624.25 and 340,786,130,974.88

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Solution

The third proportional to 218,667,752,624.25 and 340,786,130,974.88 is: 531,103,400,803.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,667,752,624.25 : 340,786,130,974.88 = 340,786,130,974.88 : x
  2. Step 2: Convert to fraction form
    218,667,752,624.25/340,786,130,974.88 = 340,786,130,974.88/x
  3. Step 3: Cross multiply
    218,667,752,624.25x = 340,786,130,974.88 × 340,786,130,974.88
  4. Step 4: Simplify right side
    218,667,752,624.25x = 116,135,187,064,828,064,694,272
  5. Step 5: Solve for x
    x = 116,135,187,064,828,064,694,272/218,667,752,624.25
  6. Step 6: Final answer
    x = 531,103,400,803.64

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.