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Finding the Third Proportional to 192,752,655.75 and 293,646,235.50

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Solution

The third proportional to 192,752,655.75 and 293,646,235.50 is: 447,351,095.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,752,655.75 : 293,646,235.50 = 293,646,235.50 : x
  2. Step 2: Convert to fraction form
    192,752,655.75/293,646,235.50 = 293,646,235.50/x
  3. Step 3: Cross multiply
    192,752,655.75x = 293,646,235.50 × 293,646,235.50
  4. Step 4: Simplify right side
    192,752,655.75x = 86,228,111,623,321,456
  5. Step 5: Solve for x
    x = 86,228,111,623,321,456/192,752,655.75
  6. Step 6: Final answer
    x = 447,351,095.05

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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.