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Finding the Third Proportional to 80,723,969 and 172,210,894

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Solution

The third proportional to 80,723,969 and 172,210,894 is: 367,382,728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,723,969 : 172,210,894 = 172,210,894 : x
  2. Step 2: Convert to fraction form
    80,723,969/172,210,894 = 172,210,894/x
  3. Step 3: Cross multiply
    80,723,969x = 172,210,894 × 172,210,894
  4. Step 4: Simplify right side
    80,723,969x = 29,656,592,012,279,236
  5. Step 5: Solve for x
    x = 29,656,592,012,279,236/80,723,969
  6. Step 6: Final answer
    x = 367,382,728.82

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