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Finding the Third Proportional to 204,162,720 and 448,006,368

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Solution

The third proportional to 204,162,720 and 448,006,368 is: 983,086,950.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,162,720 : 448,006,368 = 448,006,368 : x
  2. Step 2: Convert to fraction form
    204,162,720/448,006,368 = 448,006,368/x
  3. Step 3: Cross multiply
    204,162,720x = 448,006,368 × 448,006,368
  4. Step 4: Simplify right side
    204,162,720x = 200,709,705,768,551,424
  5. Step 5: Solve for x
    x = 200,709,705,768,551,424/204,162,720
  6. Step 6: Final answer
    x = 983,086,950.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.