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Finding the Third Proportional to 303,231,776.25 and 465,801,102

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Solution

The third proportional to 303,231,776.25 and 465,801,102 is: 715,527,473.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,231,776.25 : 465,801,102 = 465,801,102 : x
  2. Step 2: Convert to fraction form
    303,231,776.25/465,801,102 = 465,801,102/x
  3. Step 3: Cross multiply
    303,231,776.25x = 465,801,102 × 465,801,102
  4. Step 4: Simplify right side
    303,231,776.25x = 216,970,666,624,414,400
  5. Step 5: Solve for x
    x = 216,970,666,624,414,400/303,231,776.25
  6. Step 6: Final answer
    x = 715,527,473.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.