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Finding the Third Proportional to 83,178,207 and 185,481,783

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Solution

The third proportional to 83,178,207 and 185,481,783 is: 413,611,846.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,178,207 : 185,481,783 = 185,481,783 : x
  2. Step 2: Convert to fraction form
    83,178,207/185,481,783 = 185,481,783/x
  3. Step 3: Cross multiply
    83,178,207x = 185,481,783 × 185,481,783
  4. Step 4: Simplify right side
    83,178,207x = 34,403,491,824,859,088
  5. Step 5: Solve for x
    x = 34,403,491,824,859,088/83,178,207
  6. Step 6: Final answer
    x = 413,611,846.97

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.