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Finding the Third Proportional to 232,801,780 and 323,689,128

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Solution

The third proportional to 232,801,780 and 323,689,128 is: 450,059,495.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,801,780 : 323,689,128 = 323,689,128 : x
  2. Step 2: Convert to fraction form
    232,801,780/323,689,128 = 323,689,128/x
  3. Step 3: Cross multiply
    232,801,780x = 323,689,128 × 323,689,128
  4. Step 4: Simplify right side
    232,801,780x = 104,774,651,585,400,384
  5. Step 5: Solve for x
    x = 104,774,651,585,400,384/232,801,780
  6. Step 6: Final answer
    x = 450,059,495.19

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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.