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Finding the Third Proportional to 105,856,398 and 227,932,072

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Solution

The third proportional to 105,856,398 and 227,932,072 is: 490,787,807.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,856,398 : 227,932,072 = 227,932,072 : x
  2. Step 2: Convert to fraction form
    105,856,398/227,932,072 = 227,932,072/x
  3. Step 3: Cross multiply
    105,856,398x = 227,932,072 × 227,932,072
  4. Step 4: Simplify right side
    105,856,398x = 51,953,029,446,213,184
  5. Step 5: Solve for x
    x = 51,953,029,446,213,184/105,856,398
  6. Step 6: Final answer
    x = 490,787,807.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.