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Finding the Third Proportional to 74,340,342 and 159,442,164

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Solution

The third proportional to 74,340,342 and 159,442,164 is: 341,965,115.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,340,342 : 159,442,164 = 159,442,164 : x
  2. Step 2: Convert to fraction form
    74,340,342/159,442,164 = 159,442,164/x
  3. Step 3: Cross multiply
    74,340,342x = 159,442,164 × 159,442,164
  4. Step 4: Simplify right side
    74,340,342x = 25,421,803,661,002,896
  5. Step 5: Solve for x
    x = 25,421,803,661,002,896/74,340,342
  6. Step 6: Final answer
    x = 341,965,115.80

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.