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Finding the Third Proportional to 232,997,314 and 361,772,736

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Solution

The third proportional to 232,997,314 and 361,772,736 is: 561,721,121.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,997,314 : 361,772,736 = 361,772,736 : x
  2. Step 2: Convert to fraction form
    232,997,314/361,772,736 = 361,772,736/x
  3. Step 3: Cross multiply
    232,997,314x = 361,772,736 × 361,772,736
  4. Step 4: Simplify right side
    232,997,314x = 130,879,512,512,925,696
  5. Step 5: Solve for x
    x = 130,879,512,512,925,696/232,997,314
  6. Step 6: Final answer
    x = 561,721,121.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.