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Finding the Third Proportional to 238,092,121.50 and 485,750,134.50

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Solution

The third proportional to 238,092,121.50 and 485,750,134.50 is: 991,016,383.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,092,121.50 : 485,750,134.50 = 485,750,134.50 : x
  2. Step 2: Convert to fraction form
    238,092,121.50/485,750,134.50 = 485,750,134.50/x
  3. Step 3: Cross multiply
    238,092,121.50x = 485,750,134.50 × 485,750,134.50
  4. Step 4: Simplify right side
    238,092,121.50x = 235,953,193,166,768,096
  5. Step 5: Solve for x
    x = 235,953,193,166,768,096/238,092,121.50
  6. Step 6: Final answer
    x = 991,016,383.41

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.