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Finding the Third Proportional to 235,613,246.13 and 379,635,704.93

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Solution

The third proportional to 235,613,246.13 and 379,635,704.93 is: 611,694,252.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,613,246.13 : 379,635,704.93 = 379,635,704.93 : x
  2. Step 2: Convert to fraction form
    235,613,246.13/379,635,704.93 = 379,635,704.93/x
  3. Step 3: Cross multiply
    235,613,246.13x = 379,635,704.93 × 379,635,704.93
  4. Step 4: Simplify right side
    235,613,246.13x = 144,123,268,457,455,040
  5. Step 5: Solve for x
    x = 144,123,268,457,455,040/235,613,246.13
  6. Step 6: Final answer
    x = 611,694,252.44

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.