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Finding the Third Proportional to 187,400,232,702 and 285,491,291,743.12

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Solution

The third proportional to 187,400,232,702 and 285,491,291,743.12 is: 434,926,235,074.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,400,232,702 : 285,491,291,743.12 = 285,491,291,743.12 : x
  2. Step 2: Convert to fraction form
    187,400,232,702/285,491,291,743.12 = 285,491,291,743.12/x
  3. Step 3: Cross multiply
    187,400,232,702x = 285,491,291,743.12 × 285,491,291,743.12
  4. Step 4: Simplify right side
    187,400,232,702x = 81,505,277,661,155,258,531,840
  5. Step 5: Solve for x
    x = 81,505,277,661,155,258,531,840/187,400,232,702
  6. Step 6: Final answer
    x = 434,926,235,074.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.