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Finding the Third Proportional to 149,302,872 and 213,503,364

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Solution

The third proportional to 149,302,872 and 213,503,364 is: 305,310,178.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,302,872 : 213,503,364 = 213,503,364 : x
  2. Step 2: Convert to fraction form
    149,302,872/213,503,364 = 213,503,364/x
  3. Step 3: Cross multiply
    149,302,872x = 213,503,364 × 213,503,364
  4. Step 4: Simplify right side
    149,302,872x = 45,583,686,439,316,496
  5. Step 5: Solve for x
    x = 45,583,686,439,316,496/149,302,872
  6. Step 6: Final answer
    x = 305,310,178.09

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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.