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Finding the Third Proportional to 196,817,810.50 and 422,843,914.75

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Solution

The third proportional to 196,817,810.50 and 422,843,914.75 is: 908,439,006.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,817,810.50 : 422,843,914.75 = 422,843,914.75 : x
  2. Step 2: Convert to fraction form
    196,817,810.50/422,843,914.75 = 422,843,914.75/x
  3. Step 3: Cross multiply
    196,817,810.50x = 422,843,914.75 × 422,843,914.75
  4. Step 4: Simplify right side
    196,817,810.50x = 178,796,976,241,105,280
  5. Step 5: Solve for x
    x = 178,796,976,241,105,280/196,817,810.50
  6. Step 6: Final answer
    x = 908,439,006.55

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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.