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Finding the Third Proportional to 51,898,404 and 114,156,668

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Solution

The third proportional to 51,898,404 and 114,156,668 is: 251,101,071.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898,404 : 114,156,668 = 114,156,668 : x
  2. Step 2: Convert to fraction form
    51,898,404/114,156,668 = 114,156,668/x
  3. Step 3: Cross multiply
    51,898,404x = 114,156,668 × 114,156,668
  4. Step 4: Simplify right side
    51,898,404x = 13,031,744,848,862,224
  5. Step 5: Solve for x
    x = 13,031,744,848,862,224/51,898,404
  6. Step 6: Final answer
    x = 251,101,071.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.