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Finding the Third Proportional to 192,752,657 and 293,646,237

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Solution

The third proportional to 192,752,657 and 293,646,237 is: 447,351,096.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,752,657 : 293,646,237 = 293,646,237 : x
  2. Step 2: Convert to fraction form
    192,752,657/293,646,237 = 293,646,237/x
  3. Step 3: Cross multiply
    192,752,657x = 293,646,237 × 293,646,237
  4. Step 4: Simplify right side
    192,752,657x = 86,228,112,504,260,176
  5. Step 5: Solve for x
    x = 86,228,112,504,260,176/192,752,657
  6. Step 6: Final answer
    x = 447,351,096.72

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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.