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Finding the Third Proportional to 187,400,232,712 and 285,491,291,760

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Solution

The third proportional to 187,400,232,712 and 285,491,291,760 is: 434,926,235,102.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,400,232,712 : 285,491,291,760 = 285,491,291,760 : x
  2. Step 2: Convert to fraction form
    187,400,232,712/285,491,291,760 = 285,491,291,760/x
  3. Step 3: Cross multiply
    187,400,232,712x = 285,491,291,760 × 285,491,291,760
  4. Step 4: Simplify right side
    187,400,232,712x = 81,505,277,670,793,450,356,736
  5. Step 5: Solve for x
    x = 81,505,277,670,793,450,356,736/187,400,232,712
  6. Step 6: Final answer
    x = 434,926,235,102.67

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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.