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Finding the Third Proportional to 73,258,647.75 and 159,271,879.50

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Solution

The third proportional to 73,258,647.75 and 159,271,879.50 is: 346,273,544.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,258,647.75 : 159,271,879.50 = 159,271,879.50 : x
  2. Step 2: Convert to fraction form
    73,258,647.75/159,271,879.50 = 159,271,879.50/x
  3. Step 3: Cross multiply
    73,258,647.75x = 159,271,879.50 × 159,271,879.50
  4. Step 4: Simplify right side
    73,258,647.75x = 25,367,531,599,462,520
  5. Step 5: Solve for x
    x = 25,367,531,599,462,520/73,258,647.75
  6. Step 6: Final answer
    x = 346,273,544.20

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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.