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Finding the Third Proportional to 156,619,032 and 343,355,816

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Solution

The third proportional to 156,619,032 and 343,355,816 is: 752,738,762.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,619,032 : 343,355,816 = 343,355,816 : x
  2. Step 2: Convert to fraction form
    156,619,032/343,355,816 = 343,355,816/x
  3. Step 3: Cross multiply
    156,619,032x = 343,355,816 × 343,355,816
  4. Step 4: Simplify right side
    156,619,032x = 117,893,216,381,025,856
  5. Step 5: Solve for x
    x = 117,893,216,381,025,856/156,619,032
  6. Step 6: Final answer
    x = 752,738,762.82

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.