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Finding the Third Proportional to 96,758,979,069 and 151,454,229,349.50

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Solution

The third proportional to 96,758,979,069 and 151,454,229,349.50 is: 237,067,234,571.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,758,979,069 : 151,454,229,349.50 = 151,454,229,349.50 : x
  2. Step 2: Convert to fraction form
    96,758,979,069/151,454,229,349.50 = 151,454,229,349.50/x
  3. Step 3: Cross multiply
    96,758,979,069x = 151,454,229,349.50 × 151,454,229,349.50
  4. Step 4: Simplify right side
    96,758,979,069x = 22,938,383,587,850,946,871,296
  5. Step 5: Solve for x
    x = 22,938,383,587,850,946,871,296/96,758,979,069
  6. Step 6: Final answer
    x = 237,067,234,571.52

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.