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Finding the Third Proportional to 159,522,996 and 346,271,409

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Solution

The third proportional to 159,522,996 and 346,271,409 is: 751,640,150.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,522,996 : 346,271,409 = 346,271,409 : x
  2. Step 2: Convert to fraction form
    159,522,996/346,271,409 = 346,271,409/x
  3. Step 3: Cross multiply
    159,522,996x = 346,271,409 × 346,271,409
  4. Step 4: Simplify right side
    159,522,996x = 119,903,888,690,845,280
  5. Step 5: Solve for x
    x = 119,903,888,690,845,280/159,522,996
  6. Step 6: Final answer
    x = 751,640,150.31

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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.