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Finding the Third Proportional to 172,846,500.75 and 380,169,266.06

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Solution

The third proportional to 172,846,500.75 and 380,169,266.06 is: 836,167,757.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,846,500.75 : 380,169,266.06 = 380,169,266.06 : x
  2. Step 2: Convert to fraction form
    172,846,500.75/380,169,266.06 = 380,169,266.06/x
  3. Step 3: Cross multiply
    172,846,500.75x = 380,169,266.06 × 380,169,266.06
  4. Step 4: Simplify right side
    172,846,500.75x = 144,528,670,858,499,904
  5. Step 5: Solve for x
    x = 144,528,670,858,499,904/172,846,500.75
  6. Step 6: Final answer
    x = 836,167,757.12

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.