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Finding the Third Proportional to 134,957,755,106 and 281,085,883,908

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Solution

The third proportional to 134,957,755,106 and 281,085,883,908 is: 585,437,080,442.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,957,755,106 : 281,085,883,908 = 281,085,883,908 : x
  2. Step 2: Convert to fraction form
    134,957,755,106/281,085,883,908 = 281,085,883,908/x
  3. Step 3: Cross multiply
    134,957,755,106x = 281,085,883,908 × 281,085,883,908
  4. Step 4: Simplify right side
    134,957,755,106x = 79,009,274,132,341,660,319,744
  5. Step 5: Solve for x
    x = 79,009,274,132,341,660,319,744/134,957,755,106
  6. Step 6: Final answer
    x = 585,437,080,442.58

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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.