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Finding the Third Proportional to 74,112,112 and 160,982,360

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Solution

The third proportional to 74,112,112 and 160,982,360 is: 349,677,259.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112,112 : 160,982,360 = 160,982,360 : x
  2. Step 2: Convert to fraction form
    74,112,112/160,982,360 = 160,982,360/x
  3. Step 3: Cross multiply
    74,112,112x = 160,982,360 × 160,982,360
  4. Step 4: Simplify right side
    74,112,112x = 25,915,320,231,169,600
  5. Step 5: Solve for x
    x = 25,915,320,231,169,600/74,112,112
  6. Step 6: Final answer
    x = 349,677,259.65

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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.