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Finding the Third Proportional to 229,969,769 and 501,561,665

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Solution

The third proportional to 229,969,769 and 501,561,665 is: 1,093,900,754.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,969,769 : 501,561,665 = 501,561,665 : x
  2. Step 2: Convert to fraction form
    229,969,769/501,561,665 = 501,561,665/x
  3. Step 3: Cross multiply
    229,969,769x = 501,561,665 × 501,561,665
  4. Step 4: Simplify right side
    229,969,769x = 251,564,103,797,572,224
  5. Step 5: Solve for x
    x = 251,564,103,797,572,224/229,969,769
  6. Step 6: Final answer
    x = 1,093,900,754.40

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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.