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Finding the Third Proportional to 94,190,540,175 and 144,777,613,356

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Solution

The third proportional to 94,190,540,175 and 144,777,613,356 is: 222,533,571,737.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,190,540,175 : 144,777,613,356 = 144,777,613,356 : x
  2. Step 2: Convert to fraction form
    94,190,540,175/144,777,613,356 = 144,777,613,356/x
  3. Step 3: Cross multiply
    94,190,540,175x = 144,777,613,356 × 144,777,613,356
  4. Step 4: Simplify right side
    94,190,540,175x = 20,960,557,329,059,428,696,064
  5. Step 5: Solve for x
    x = 20,960,557,329,059,428,696,064/94,190,540,175
  6. Step 6: Final answer
    x = 222,533,571,737.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.