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Finding the Third Proportional to 255,862,170 and 374,197,772.25

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Solution

The third proportional to 255,862,170 and 374,197,772.25 is: 547,263,289.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,862,170 : 374,197,772.25 = 374,197,772.25 : x
  2. Step 2: Convert to fraction form
    255,862,170/374,197,772.25 = 374,197,772.25/x
  3. Step 3: Cross multiply
    255,862,170x = 374,197,772.25 × 374,197,772.25
  4. Step 4: Simplify right side
    255,862,170x = 140,023,972,756,862,864
  5. Step 5: Solve for x
    x = 140,023,972,756,862,864/255,862,170
  6. Step 6: Final answer
    x = 547,263,289.28

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.