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Finding the Third Proportional to 96,771,372,627.75 and 151,805,728,612.50

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Solution

The third proportional to 96,771,372,627.75 and 151,805,728,612.50 is: 238,138,393,760.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,771,372,627.75 : 151,805,728,612.50 = 151,805,728,612.50 : x
  2. Step 2: Convert to fraction form
    96,771,372,627.75/151,805,728,612.50 = 151,805,728,612.50/x
  3. Step 3: Cross multiply
    96,771,372,627.75x = 151,805,728,612.50 × 151,805,728,612.50
  4. Step 4: Simplify right side
    96,771,372,627.75x = 23,044,979,239,572,002,045,952
  5. Step 5: Solve for x
    x = 23,044,979,239,572,002,045,952/96,771,372,627.75
  6. Step 6: Final answer
    x = 238,138,393,760.51

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