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Finding the Third Proportional to 156,497,683,746 and 338,981,991,674

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Solution

The third proportional to 156,497,683,746 and 338,981,991,674 is: 734,252,341,176.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,497,683,746 : 338,981,991,674 = 338,981,991,674 : x
  2. Step 2: Convert to fraction form
    156,497,683,746/338,981,991,674 = 338,981,991,674/x
  3. Step 3: Cross multiply
    156,497,683,746x = 338,981,991,674 × 338,981,991,674
  4. Step 4: Simplify right side
    156,497,683,746x = 114,908,790,679,271,802,667,008
  5. Step 5: Solve for x
    x = 114,908,790,679,271,802,667,008/156,497,683,746
  6. Step 6: Final answer
    x = 734,252,341,176.96

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Why These Related Problems?

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