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Finding the Third Proportional to 73,615,181 and 159,498,841

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Solution

The third proportional to 73,615,181 and 159,498,841 is: 345,579,266.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,615,181 : 159,498,841 = 159,498,841 : x
  2. Step 2: Convert to fraction form
    73,615,181/159,498,841 = 159,498,841/x
  3. Step 3: Cross multiply
    73,615,181x = 159,498,841 × 159,498,841
  4. Step 4: Simplify right side
    73,615,181x = 25,439,880,280,343,280
  5. Step 5: Solve for x
    x = 25,439,880,280,343,280/73,615,181
  6. Step 6: Final answer
    x = 345,579,266.87

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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.