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Finding the Third Proportional to 71,080,243.88 and 109,206,938.81

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Solution

The third proportional to 71,080,243.88 and 109,206,938.81 is: 167,784,391.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,080,243.88 : 109,206,938.81 = 109,206,938.81 : x
  2. Step 2: Convert to fraction form
    71,080,243.88/109,206,938.81 = 109,206,938.81/x
  3. Step 3: Cross multiply
    71,080,243.88x = 109,206,938.81 × 109,206,938.81
  4. Step 4: Simplify right side
    71,080,243.88x = 11,926,155,484,797,118
  5. Step 5: Solve for x
    x = 11,926,155,484,797,118/71,080,243.88
  6. Step 6: Final answer
    x = 167,784,391.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.