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Finding the Third Proportional to 184,175,265,251 and 400,781,512,678

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Solution

The third proportional to 184,175,265,251 and 400,781,512,678 is: 872,135,683,831.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,175,265,251 : 400,781,512,678 = 400,781,512,678 : x
  2. Step 2: Convert to fraction form
    184,175,265,251/400,781,512,678 = 400,781,512,678/x
  3. Step 3: Cross multiply
    184,175,265,251x = 400,781,512,678 × 400,781,512,678
  4. Step 4: Simplify right side
    184,175,265,251x = 160,625,820,904,465,872,453,632
  5. Step 5: Solve for x
    x = 160,625,820,904,465,872,453,632/184,175,265,251
  6. Step 6: Final answer
    x = 872,135,683,831.16

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.