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Finding the Third Proportional to 123,150,348 and 265,826,232

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Solution

The third proportional to 123,150,348 and 265,826,232 is: 573,799,317.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,150,348 : 265,826,232 = 265,826,232 : x
  2. Step 2: Convert to fraction form
    123,150,348/265,826,232 = 265,826,232/x
  3. Step 3: Cross multiply
    123,150,348x = 265,826,232 × 265,826,232
  4. Step 4: Simplify right side
    123,150,348x = 70,663,585,619,317,824
  5. Step 5: Solve for x
    x = 70,663,585,619,317,824/123,150,348
  6. Step 6: Final answer
    x = 573,799,317.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.