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Finding the Third Proportional to 201,543,840 and 302,263,200

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Solution

The third proportional to 201,543,840 and 302,263,200 is: 453,315,973.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543,840 : 302,263,200 = 302,263,200 : x
  2. Step 2: Convert to fraction form
    201,543,840/302,263,200 = 302,263,200/x
  3. Step 3: Cross multiply
    201,543,840x = 302,263,200 × 302,263,200
  4. Step 4: Simplify right side
    201,543,840x = 91,363,042,074,240,000
  5. Step 5: Solve for x
    x = 91,363,042,074,240,000/201,543,840
  6. Step 6: Final answer
    x = 453,315,973.71

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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.