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Finding the Third Proportional to 72,726,238 and 156,989,176

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Solution

The third proportional to 72,726,238 and 156,989,176 is: 338,881,840.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,726,238 : 156,989,176 = 156,989,176 : x
  2. Step 2: Convert to fraction form
    72,726,238/156,989,176 = 156,989,176/x
  3. Step 3: Cross multiply
    72,726,238x = 156,989,176 × 156,989,176
  4. Step 4: Simplify right side
    72,726,238x = 24,645,601,381,158,976
  5. Step 5: Solve for x
    x = 24,645,601,381,158,976/72,726,238
  6. Step 6: Final answer
    x = 338,881,840.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.