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Finding the Third Proportional to 72,946,383 and 157,997,802

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Solution

The third proportional to 72,946,383 and 157,997,802 is: 342,214,437.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,946,383 : 157,997,802 = 157,997,802 : x
  2. Step 2: Convert to fraction form
    72,946,383/157,997,802 = 157,997,802/x
  3. Step 3: Cross multiply
    72,946,383x = 157,997,802 × 157,997,802
  4. Step 4: Simplify right side
    72,946,383x = 24,963,305,436,831,204
  5. Step 5: Solve for x
    x = 24,963,305,436,831,204/72,946,383
  6. Step 6: Final answer
    x = 342,214,437.65

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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.