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Finding the Third Proportional to 172,458,081 and 367,492,563

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Solution

The third proportional to 172,458,081 and 367,492,563 is: 783,093,393.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,458,081 : 367,492,563 = 367,492,563 : x
  2. Step 2: Convert to fraction form
    172,458,081/367,492,563 = 367,492,563/x
  3. Step 3: Cross multiply
    172,458,081x = 367,492,563 × 367,492,563
  4. Step 4: Simplify right side
    172,458,081x = 135,050,783,860,308,976
  5. Step 5: Solve for x
    x = 135,050,783,860,308,976/172,458,081
  6. Step 6: Final answer
    x = 783,093,393.35

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.