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Finding the Third Proportional to 192,752,632 and 293,646,196

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Solution

The third proportional to 192,752,632 and 293,646,196 is: 447,351,029.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,752,632 : 293,646,196 = 293,646,196 : x
  2. Step 2: Convert to fraction form
    192,752,632/293,646,196 = 293,646,196/x
  3. Step 3: Cross multiply
    192,752,632x = 293,646,196 × 293,646,196
  4. Step 4: Simplify right side
    192,752,632x = 86,228,088,425,270,416
  5. Step 5: Solve for x
    x = 86,228,088,425,270,416/192,752,632
  6. Step 6: Final answer
    x = 447,351,029.82

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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.