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Finding the Third Proportional to 156,497,683,735.82 and 338,981,991,652.40

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Solution

The third proportional to 156,497,683,735.82 and 338,981,991,652.40 is: 734,252,341,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,497,683,735.82 : 338,981,991,652.40 = 338,981,991,652.40 : x
  2. Step 2: Convert to fraction form
    156,497,683,735.82/338,981,991,652.40 = 338,981,991,652.40/x
  3. Step 3: Cross multiply
    156,497,683,735.82x = 338,981,991,652.40 × 338,981,991,652.40
  4. Step 4: Simplify right side
    156,497,683,735.82x = 114,908,790,664,627,792,904,192
  5. Step 5: Solve for x
    x = 114,908,790,664,627,792,904,192/156,497,683,735.82
  6. Step 6: Final answer
    x = 734,252,341,131.15

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.