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Finding the Third Proportional to 40,727,908.69 and 89,069,721.19

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Solution

The third proportional to 40,727,908.69 and 89,069,721.19 is: 194,790,635.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,727,908.69 : 89,069,721.19 = 89,069,721.19 : x
  2. Step 2: Convert to fraction form
    40,727,908.69/89,069,721.19 = 89,069,721.19/x
  3. Step 3: Cross multiply
    40,727,908.69x = 89,069,721.19 × 89,069,721.19
  4. Step 4: Simplify right side
    40,727,908.69x = 7,933,415,232,418,986
  5. Step 5: Solve for x
    x = 7,933,415,232,418,986/40,727,908.69
  6. Step 6: Final answer
    x = 194,790,635.91

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.