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Finding the Third Proportional to 150,772,741 and 326,581,471

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Solution

The third proportional to 150,772,741 and 326,581,471 is: 707,392,175.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,772,741 : 326,581,471 = 326,581,471 : x
  2. Step 2: Convert to fraction form
    150,772,741/326,581,471 = 326,581,471/x
  3. Step 3: Cross multiply
    150,772,741x = 326,581,471 × 326,581,471
  4. Step 4: Simplify right side
    150,772,741x = 106,655,457,200,523,840
  5. Step 5: Solve for x
    x = 106,655,457,200,523,840/150,772,741
  6. Step 6: Final answer
    x = 707,392,175.09

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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.