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Finding the Third Proportional to 224,186,223 and 485,218,901

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Solution

The third proportional to 224,186,223 and 485,218,901 is: 1,050,186,665.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,186,223 : 485,218,901 = 485,218,901 : x
  2. Step 2: Convert to fraction form
    224,186,223/485,218,901 = 485,218,901/x
  3. Step 3: Cross multiply
    224,186,223x = 485,218,901 × 485,218,901
  4. Step 4: Simplify right side
    224,186,223x = 235,437,381,887,647,808
  5. Step 5: Solve for x
    x = 235,437,381,887,647,808/224,186,223
  6. Step 6: Final answer
    x = 1,050,186,665.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.