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Finding the Third Proportional to 159,522,999 and 346,271,415

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Solution

The third proportional to 159,522,999 and 346,271,415 is: 751,640,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,522,999 : 346,271,415 = 346,271,415 : x
  2. Step 2: Convert to fraction form
    159,522,999/346,271,415 = 346,271,415/x
  3. Step 3: Cross multiply
    159,522,999x = 346,271,415 × 346,271,415
  4. Step 4: Simplify right side
    159,522,999x = 119,903,892,846,102,224
  5. Step 5: Solve for x
    x = 119,903,892,846,102,224/159,522,999
  6. Step 6: Final answer
    x = 751,640,162.22

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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.