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Finding the Third Proportional to 192,752,659 and 293,646,240

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Solution

The third proportional to 192,752,659 and 293,646,240 is: 447,351,101.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,752,659 : 293,646,240 = 293,646,240 : x
  2. Step 2: Convert to fraction form
    192,752,659/293,646,240 = 293,646,240/x
  3. Step 3: Cross multiply
    192,752,659x = 293,646,240 × 293,646,240
  4. Step 4: Simplify right side
    192,752,659x = 86,228,114,266,137,600
  5. Step 5: Solve for x
    x = 86,228,114,266,137,600/192,752,659
  6. Step 6: Final answer
    x = 447,351,101.22

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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.