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Finding the Third Proportional to 164,536,207,070 and 231,703,236,698

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Solution

The third proportional to 164,536,207,070 and 231,703,236,698 is: 326,289,215,318.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,536,207,070 : 231,703,236,698 = 231,703,236,698 : x
  2. Step 2: Convert to fraction form
    164,536,207,070/231,703,236,698 = 231,703,236,698/x
  3. Step 3: Cross multiply
    164,536,207,070x = 231,703,236,698 × 231,703,236,698
  4. Step 4: Simplify right side
    164,536,207,070x = 53,686,389,896,329,413,263,360
  5. Step 5: Solve for x
    x = 53,686,389,896,329,413,263,360/164,536,207,070
  6. Step 6: Final answer
    x = 326,289,215,318.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.