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Finding the Third Proportional to 165,792,002,994 and 254,676,797,902

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Solution

The third proportional to 165,792,002,994 and 254,676,797,902 is: 391,214,716,140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,792,002,994 : 254,676,797,902 = 254,676,797,902 : x
  2. Step 2: Convert to fraction form
    165,792,002,994/254,676,797,902 = 254,676,797,902/x
  3. Step 3: Cross multiply
    165,792,002,994x = 254,676,797,902 × 254,676,797,902
  4. Step 4: Simplify right side
    165,792,002,994x = 64,860,271,389,616,153,559,040
  5. Step 5: Solve for x
    x = 64,860,271,389,616,153,559,040/165,792,002,994
  6. Step 6: Final answer
    x = 391,214,716,140.22

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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.