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Finding the Third Proportional to 172,406,086 and 258,356,935

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Solution

The third proportional to 172,406,086 and 258,356,935 is: 387,157,480.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,406,086 : 258,356,935 = 258,356,935 : x
  2. Step 2: Convert to fraction form
    172,406,086/258,356,935 = 258,356,935/x
  3. Step 3: Cross multiply
    172,406,086x = 258,356,935 × 258,356,935
  4. Step 4: Simplify right side
    172,406,086x = 66,748,305,862,594,224
  5. Step 5: Solve for x
    x = 66,748,305,862,594,224/172,406,086
  6. Step 6: Final answer
    x = 387,157,480.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.