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Finding the Third Proportional to 184,175,265,253 and 400,781,512,682

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Solution

The third proportional to 184,175,265,253 and 400,781,512,682 is: 872,135,683,839.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,175,265,253 : 400,781,512,682 = 400,781,512,682 : x
  2. Step 2: Convert to fraction form
    184,175,265,253/400,781,512,682 = 400,781,512,682/x
  3. Step 3: Cross multiply
    184,175,265,253x = 400,781,512,682 × 400,781,512,682
  4. Step 4: Simplify right side
    184,175,265,253x = 160,625,820,907,672,132,648,960
  5. Step 5: Solve for x
    x = 160,625,820,907,672,132,648,960/184,175,265,253
  6. Step 6: Final answer
    x = 872,135,683,839.10

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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.