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Finding the Third Proportional to 134,957,729,540 and 281,085,830,904

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Solution

The third proportional to 134,957,729,540 and 281,085,830,904 is: 585,436,970,555.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957,729,540 : 281,085,830,904 = 281,085,830,904 : x
  2. Step 2: Convert to fraction form
    134,957,729,540/281,085,830,904 = 281,085,830,904/x
  3. Step 3: Cross multiply
    134,957,729,540x = 281,085,830,904 × 281,085,830,904
  4. Step 4: Simplify right side
    134,957,729,540x = 79,009,244,334,992,079,716,352
  5. Step 5: Solve for x
    x = 79,009,244,334,992,079,716,352/134,957,729,540
  6. Step 6: Final answer
    x = 585,436,970,555.84

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.