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Finding the Third Proportional to 193,493,100 and 420,996,912

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Solution

The third proportional to 193,493,100 and 420,996,912 is: 915,993,386.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,493,100 : 420,996,912 = 420,996,912 : x
  2. Step 2: Convert to fraction form
    193,493,100/420,996,912 = 420,996,912/x
  3. Step 3: Cross multiply
    193,493,100x = 420,996,912 × 420,996,912
  4. Step 4: Simplify right side
    193,493,100x = 177,238,399,913,535,744
  5. Step 5: Solve for x
    x = 177,238,399,913,535,744/193,493,100
  6. Step 6: Final answer
    x = 915,993,386.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.