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Finding the Third Proportional to 192,798,598 and 293,715,326

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Solution

The third proportional to 192,798,598 and 293,715,326 is: 447,454,979.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,798,598 : 293,715,326 = 293,715,326 : x
  2. Step 2: Convert to fraction form
    192,798,598/293,715,326 = 293,715,326/x
  3. Step 3: Cross multiply
    192,798,598x = 293,715,326 × 293,715,326
  4. Step 4: Simplify right side
    192,798,598x = 86,268,692,727,286,272
  5. Step 5: Solve for x
    x = 86,268,692,727,286,272/192,798,598
  6. Step 6: Final answer
    x = 447,454,979.56

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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.