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Finding the Third Proportional to 155,306,418.75 and 345,088,652.25

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Solution

The third proportional to 155,306,418.75 and 345,088,652.25 is: 766,782,074.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,306,418.75 : 345,088,652.25 = 345,088,652.25 : x
  2. Step 2: Convert to fraction form
    155,306,418.75/345,088,652.25 = 345,088,652.25/x
  3. Step 3: Cross multiply
    155,306,418.75x = 345,088,652.25 × 345,088,652.25
  4. Step 4: Simplify right side
    155,306,418.75x = 119,086,177,911,721,424
  5. Step 5: Solve for x
    x = 119,086,177,911,721,424/155,306,418.75
  6. Step 6: Final answer
    x = 766,782,074.24

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.