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Finding the Third Proportional to 192,764,001 and 293,665,693.50

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Solution

The third proportional to 192,764,001 and 293,665,693.50 is: 447,384,050.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,764,001 : 293,665,693.50 = 293,665,693.50 : x
  2. Step 2: Convert to fraction form
    192,764,001/293,665,693.50 = 293,665,693.50/x
  3. Step 3: Cross multiply
    192,764,001x = 293,665,693.50 × 293,665,693.50
  4. Step 4: Simplify right side
    192,764,001x = 86,239,539,538,835,936
  5. Step 5: Solve for x
    x = 86,239,539,538,835,936/192,764,001
  6. Step 6: Final answer
    x = 447,384,050.40

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.