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Finding the Third Proportional to 172,058,005.88 and 263,024,403.75

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Solution

The third proportional to 172,058,005.88 and 263,024,403.75 is: 402,084,382.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,058,005.88 : 263,024,403.75 = 263,024,403.75 : x
  2. Step 2: Convert to fraction form
    172,058,005.88/263,024,403.75 = 263,024,403.75/x
  3. Step 3: Cross multiply
    172,058,005.88x = 263,024,403.75 × 263,024,403.75
  4. Step 4: Simplify right side
    172,058,005.88x = 69,181,836,968,043,016
  5. Step 5: Solve for x
    x = 69,181,836,968,043,016/172,058,005.88
  6. Step 6: Final answer
    x = 402,084,382.04

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.