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Finding the Third Proportional to 75,116,160 and 164,579,040

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Solution

The third proportional to 75,116,160 and 164,579,040 is: 360,591,654.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,116,160 : 164,579,040 = 164,579,040 : x
  2. Step 2: Convert to fraction form
    75,116,160/164,579,040 = 164,579,040/x
  3. Step 3: Cross multiply
    75,116,160x = 164,579,040 × 164,579,040
  4. Step 4: Simplify right side
    75,116,160x = 27,086,260,407,321,600
  5. Step 5: Solve for x
    x = 27,086,260,407,321,600/75,116,160
  6. Step 6: Final answer
    x = 360,591,654.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.