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Finding the Third Proportional to 149,302,884 and 213,503,382

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Solution

The third proportional to 149,302,884 and 213,503,382 is: 305,310,205.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302,884 : 213,503,382 = 213,503,382 : x
  2. Step 2: Convert to fraction form
    149,302,884/213,503,382 = 213,503,382/x
  3. Step 3: Cross multiply
    149,302,884x = 213,503,382 × 213,503,382
  4. Step 4: Simplify right side
    149,302,884x = 45,583,694,125,437,920
  5. Step 5: Solve for x
    x = 45,583,694,125,437,920/149,302,884
  6. Step 6: Final answer
    x = 305,310,205.03

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.