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Finding the Third Proportional to 204,671,148 and 445,202,715

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Solution

The third proportional to 204,671,148 and 445,202,715 is: 968,409,369.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,671,148 : 445,202,715 = 445,202,715 : x
  2. Step 2: Convert to fraction form
    204,671,148/445,202,715 = 445,202,715/x
  3. Step 3: Cross multiply
    204,671,148x = 445,202,715 × 445,202,715
  4. Step 4: Simplify right side
    204,671,148x = 198,205,457,443,371,232
  5. Step 5: Solve for x
    x = 198,205,457,443,371,232/204,671,148
  6. Step 6: Final answer
    x = 968,409,369.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.