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Finding the Third Proportional to 72,052,616 and 106,173,132

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Solution

The third proportional to 72,052,616 and 106,173,132 is: 156,451,418.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,052,616 : 106,173,132 = 106,173,132 : x
  2. Step 2: Convert to fraction form
    72,052,616/106,173,132 = 106,173,132/x
  3. Step 3: Cross multiply
    72,052,616x = 106,173,132 × 106,173,132
  4. Step 4: Simplify right side
    72,052,616x = 11,272,733,958,689,424
  5. Step 5: Solve for x
    x = 11,272,733,958,689,424/72,052,616
  6. Step 6: Final answer
    x = 156,451,418.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.