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Finding the Third Proportional to 45,543,434.63 and 99,173,286.56

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Solution

The third proportional to 45,543,434.63 and 99,173,286.56 is: 215,955,183.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,543,434.63 : 99,173,286.56 = 99,173,286.56 : x
  2. Step 2: Convert to fraction form
    45,543,434.63/99,173,286.56 = 99,173,286.56/x
  3. Step 3: Cross multiply
    45,543,434.63x = 99,173,286.56 × 99,173,286.56
  4. Step 4: Simplify right side
    45,543,434.63x = 9,835,340,767,607,744
  5. Step 5: Solve for x
    x = 9,835,340,767,607,744/45,543,434.63
  6. Step 6: Final answer
    x = 215,955,183.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.