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Finding the Third Proportional to 229,969,767 and 501,561,661

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Solution

The third proportional to 229,969,767 and 501,561,661 is: 1,093,900,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,969,767 : 501,561,661 = 501,561,661 : x
  2. Step 2: Convert to fraction form
    229,969,767/501,561,661 = 501,561,661/x
  3. Step 3: Cross multiply
    229,969,767x = 501,561,661 × 501,561,661
  4. Step 4: Simplify right side
    229,969,767x = 251,564,099,785,078,912
  5. Step 5: Solve for x
    x = 251,564,099,785,078,912/229,969,767
  6. Step 6: Final answer
    x = 1,093,900,746.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.