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Finding the Third Proportional to 201,543,844 and 302,263,206

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Solution

The third proportional to 201,543,844 and 302,263,206 is: 453,315,982.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543,844 : 302,263,206 = 302,263,206 : x
  2. Step 2: Convert to fraction form
    201,543,844/302,263,206 = 302,263,206/x
  3. Step 3: Cross multiply
    201,543,844x = 302,263,206 × 302,263,206
  4. Step 4: Simplify right side
    201,543,844x = 91,363,045,701,398,432
  5. Step 5: Solve for x
    x = 91,363,045,701,398,432/201,543,844
  6. Step 6: Final answer
    x = 453,315,982.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.