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Finding the Third Proportional to 160,115,427 and 241,879,099.50

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Solution

The third proportional to 160,115,427 and 241,879,099.50 is: 365,395,763.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,115,427 : 241,879,099.50 = 241,879,099.50 : x
  2. Step 2: Convert to fraction form
    160,115,427/241,879,099.50 = 241,879,099.50/x
  3. Step 3: Cross multiply
    160,115,427x = 241,879,099.50 × 241,879,099.50
  4. Step 4: Simplify right side
    160,115,427x = 58,505,498,774,930,904
  5. Step 5: Solve for x
    x = 58,505,498,774,930,904/160,115,427
  6. Step 6: Final answer
    x = 365,395,763.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.