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Finding the Third Proportional to 74,112,316 and 160,982,760

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Solution

The third proportional to 74,112,316 and 160,982,760 is: 349,678,034.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,112,316 : 160,982,760 = 160,982,760 : x
  2. Step 2: Convert to fraction form
    74,112,316/160,982,760 = 160,982,760/x
  3. Step 3: Cross multiply
    74,112,316x = 160,982,760 × 160,982,760
  4. Step 4: Simplify right side
    74,112,316x = 25,915,449,017,217,600
  5. Step 5: Solve for x
    x = 25,915,449,017,217,600/74,112,316
  6. Step 6: Final answer
    x = 349,678,034.85

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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.