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Finding the Third Proportional to 73,287,414 and 159,203,052

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Solution

The third proportional to 73,287,414 and 159,203,052 is: 345,838,533.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,287,414 : 159,203,052 = 159,203,052 : x
  2. Step 2: Convert to fraction form
    73,287,414/159,203,052 = 159,203,052/x
  3. Step 3: Cross multiply
    73,287,414x = 159,203,052 × 159,203,052
  4. Step 4: Simplify right side
    73,287,414x = 25,345,611,766,114,704
  5. Step 5: Solve for x
    x = 25,345,611,766,114,704/73,287,414
  6. Step 6: Final answer
    x = 345,838,533.29

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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.