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Finding the Third Proportional to 75,237,856 and 105,950,818

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Solution

The third proportional to 75,237,856 and 105,950,818 is: 149,201,165.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,237,856 : 105,950,818 = 105,950,818 : x
  2. Step 2: Convert to fraction form
    75,237,856/105,950,818 = 105,950,818/x
  3. Step 3: Cross multiply
    75,237,856x = 105,950,818 × 105,950,818
  4. Step 4: Simplify right side
    75,237,856x = 11,225,575,834,869,124
  5. Step 5: Solve for x
    x = 11,225,575,834,869,124/75,237,856
  6. Step 6: Final answer
    x = 149,201,165.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.