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Finding the Third Proportional to 196,817,809.50 and 422,843,912.72

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Solution

The third proportional to 196,817,809.50 and 422,843,912.72 is: 908,439,002.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,817,809.50 : 422,843,912.72 = 422,843,912.72 : x
  2. Step 2: Convert to fraction form
    196,817,809.50/422,843,912.72 = 422,843,912.72/x
  3. Step 3: Cross multiply
    196,817,809.50x = 422,843,912.72 × 422,843,912.72
  4. Step 4: Simplify right side
    196,817,809.50x = 178,796,974,523,301,856
  5. Step 5: Solve for x
    x = 178,796,974,523,301,856/196,817,809.50
  6. Step 6: Final answer
    x = 908,439,002.43

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