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Finding the Third Proportional to 89,731,619.02 and 194,777,534.67

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Solution

The third proportional to 89,731,619.02 and 194,777,534.67 is: 422,797,319.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,731,619.02 : 194,777,534.67 = 194,777,534.67 : x
  2. Step 2: Convert to fraction form
    89,731,619.02/194,777,534.67 = 194,777,534.67/x
  3. Step 3: Cross multiply
    89,731,619.02x = 194,777,534.67 × 194,777,534.67
  4. Step 4: Simplify right side
    89,731,619.02x = 37,938,288,012,855,416
  5. Step 5: Solve for x
    x = 37,938,288,012,855,416/89,731,619.02
  6. Step 6: Final answer
    x = 422,797,319.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.