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Finding the Third Proportional to 105,284,673 and 227,216,322

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Solution

The third proportional to 105,284,673 and 227,216,322 is: 490,358,715.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,284,673 : 227,216,322 = 227,216,322 : x
  2. Step 2: Convert to fraction form
    105,284,673/227,216,322 = 227,216,322/x
  3. Step 3: Cross multiply
    105,284,673x = 227,216,322 × 227,216,322
  4. Step 4: Simplify right side
    105,284,673x = 51,627,256,983,207,680
  5. Step 5: Solve for x
    x = 51,627,256,983,207,680/105,284,673
  6. Step 6: Final answer
    x = 490,358,715.21

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