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Finding the Third Proportional to 232,801,776 and 323,689,122

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Solution

The third proportional to 232,801,776 and 323,689,122 is: 450,059,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,801,776 : 323,689,122 = 323,689,122 : x
  2. Step 2: Convert to fraction form
    232,801,776/323,689,122 = 323,689,122/x
  3. Step 3: Cross multiply
    232,801,776x = 323,689,122 × 323,689,122
  4. Step 4: Simplify right side
    232,801,776x = 104,774,647,701,130,880
  5. Step 5: Solve for x
    x = 104,774,647,701,130,880/232,801,776
  6. Step 6: Final answer
    x = 450,059,486.23

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.