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Finding the Third Proportional to 40,300,836.19 and 87,443,974.69

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Solution

The third proportional to 40,300,836.19 and 87,443,974.69 is: 189,734,244.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,300,836.19 : 87,443,974.69 = 87,443,974.69 : x
  2. Step 2: Convert to fraction form
    40,300,836.19/87,443,974.69 = 87,443,974.69/x
  3. Step 3: Cross multiply
    40,300,836.19x = 87,443,974.69 × 87,443,974.69
  4. Step 4: Simplify right side
    40,300,836.19x = 7,646,448,709,148,141
  5. Step 5: Solve for x
    x = 7,646,448,709,148,141/40,300,836.19
  6. Step 6: Final answer
    x = 189,734,244.56

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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.