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Finding the Third Proportional to 71,428,008.94 and 106,864,021.41

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Solution

The third proportional to 71,428,008.94 and 106,864,021.41 is: 159,880,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,428,008.94 : 106,864,021.41 = 106,864,021.41 : x
  2. Step 2: Convert to fraction form
    71,428,008.94/106,864,021.41 = 106,864,021.41/x
  3. Step 3: Cross multiply
    71,428,008.94x = 106,864,021.41 × 106,864,021.41
  4. Step 4: Simplify right side
    71,428,008.94x = 11,419,919,071,115,458
  5. Step 5: Solve for x
    x = 11,419,919,071,115,458/71,428,008.94
  6. Step 6: Final answer
    x = 159,880,126.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.