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Finding the Third Proportional to 107,366,328 and 164,172,097

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Solution

The third proportional to 107,366,328 and 164,172,097 is: 251,032,869.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,366,328 : 164,172,097 = 164,172,097 : x
  2. Step 2: Convert to fraction form
    107,366,328/164,172,097 = 164,172,097/x
  3. Step 3: Cross multiply
    107,366,328x = 164,172,097 × 164,172,097
  4. Step 4: Simplify right side
    107,366,328x = 26,952,477,433,377,408
  5. Step 5: Solve for x
    x = 26,952,477,433,377,408/107,366,328
  6. Step 6: Final answer
    x = 251,032,869.76

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.