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Finding the Third Proportional to 146,271,912 and 304,650,753

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Solution

The third proportional to 146,271,912 and 304,650,753 is: 634,517,454.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,271,912 : 304,650,753 = 304,650,753 : x
  2. Step 2: Convert to fraction form
    146,271,912/304,650,753 = 304,650,753/x
  3. Step 3: Cross multiply
    146,271,912x = 304,650,753 × 304,650,753
  4. Step 4: Simplify right side
    146,271,912x = 92,812,081,303,467,008
  5. Step 5: Solve for x
    x = 92,812,081,303,467,008/146,271,912
  6. Step 6: Final answer
    x = 634,517,454.75

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.