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Finding the Third Proportional to 51,898,407 and 114,156,675

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Solution

The third proportional to 51,898,407 and 114,156,675 is: 251,101,087.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898,407 : 114,156,675 = 114,156,675 : x
  2. Step 2: Convert to fraction form
    51,898,407/114,156,675 = 114,156,675/x
  3. Step 3: Cross multiply
    51,898,407x = 114,156,675 × 114,156,675
  4. Step 4: Simplify right side
    51,898,407x = 13,031,746,447,055,624
  5. Step 5: Solve for x
    x = 13,031,746,447,055,624/51,898,407
  6. Step 6: Final answer
    x = 251,101,087.69

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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.