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Finding the Third Proportional to 72,946,380 and 157,997,796

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Solution

The third proportional to 72,946,380 and 157,997,796 is: 342,214,425.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946,380 : 157,997,796 = 157,997,796 : x
  2. Step 2: Convert to fraction form
    72,946,380/157,997,796 = 157,997,796/x
  3. Step 3: Cross multiply
    72,946,380x = 157,997,796 × 157,997,796
  4. Step 4: Simplify right side
    72,946,380x = 24,963,303,540,857,616
  5. Step 5: Solve for x
    x = 24,963,303,540,857,616/72,946,380
  6. Step 6: Final answer
    x = 342,214,425.73

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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.