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Finding the Third Proportional to 72,325,838 and 109,161,347

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Solution

The third proportional to 72,325,838 and 109,161,347 is: 164,757,160.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,325,838 : 109,161,347 = 109,161,347 : x
  2. Step 2: Convert to fraction form
    72,325,838/109,161,347 = 109,161,347/x
  3. Step 3: Cross multiply
    72,325,838x = 109,161,347 × 109,161,347
  4. Step 4: Simplify right side
    72,325,838x = 11,916,199,678,854,408
  5. Step 5: Solve for x
    x = 11,916,199,678,854,408/72,325,838
  6. Step 6: Final answer
    x = 164,757,160.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.