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Finding the Third Proportional to 159,537,150 and 347,026,860

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Solution

The third proportional to 159,537,150 and 347,026,860 is: 754,856,417.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,537,150 : 347,026,860 = 347,026,860 : x
  2. Step 2: Convert to fraction form
    159,537,150/347,026,860 = 347,026,860/x
  3. Step 3: Cross multiply
    159,537,150x = 347,026,860 × 347,026,860
  4. Step 4: Simplify right side
    159,537,150x = 120,427,641,561,459,600
  5. Step 5: Solve for x
    x = 120,427,641,561,459,600/159,537,150
  6. Step 6: Final answer
    x = 754,856,417.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.