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Finding the Third Proportional to 201,543,624 and 302,262,948

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Solution

The third proportional to 201,543,624 and 302,262,948 is: 453,315,703.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,543,624 : 302,262,948 = 302,262,948 : x
  2. Step 2: Convert to fraction form
    201,543,624/302,262,948 = 302,262,948/x
  3. Step 3: Cross multiply
    201,543,624x = 302,262,948 × 302,262,948
  4. Step 4: Simplify right side
    201,543,624x = 91,362,889,733,650,704
  5. Step 5: Solve for x
    x = 91,362,889,733,650,704/201,543,624
  6. Step 6: Final answer
    x = 453,315,703.67

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