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Finding the Third Proportional to 204,196,734 and 308,726,356.50

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Solution

The third proportional to 204,196,734 and 308,726,356.50 is: 466,765,365.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,196,734 : 308,726,356.50 = 308,726,356.50 : x
  2. Step 2: Convert to fraction form
    204,196,734/308,726,356.50 = 308,726,356.50/x
  3. Step 3: Cross multiply
    204,196,734x = 308,726,356.50 × 308,726,356.50
  4. Step 4: Simplify right side
    204,196,734x = 95,311,963,197,765,088
  5. Step 5: Solve for x
    x = 95,311,963,197,765,088/204,196,734
  6. Step 6: Final answer
    x = 466,765,365.59

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.