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Finding the Third Proportional to 204,196,738 and 308,726,363

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Solution

The third proportional to 204,196,738 and 308,726,363 is: 466,765,376.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,196,738 : 308,726,363 = 308,726,363 : x
  2. Step 2: Convert to fraction form
    204,196,738/308,726,363 = 308,726,363/x
  3. Step 3: Cross multiply
    204,196,738x = 308,726,363 × 308,726,363
  4. Step 4: Simplify right side
    204,196,738x = 95,311,967,211,207,776
  5. Step 5: Solve for x
    x = 95,311,967,211,207,776/204,196,738
  6. Step 6: Final answer
    x = 466,765,376.10

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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.