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Finding the Third Proportional to 75,237,853.50 and 105,950,814.75

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Solution

The third proportional to 75,237,853.50 and 105,950,814.75 is: 149,201,161.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,237,853.50 : 105,950,814.75 = 105,950,814.75 : x
  2. Step 2: Convert to fraction form
    75,237,853.50/105,950,814.75 = 105,950,814.75/x
  3. Step 3: Cross multiply
    75,237,853.50x = 105,950,814.75 × 105,950,814.75
  4. Step 4: Simplify right side
    75,237,853.50x = 11,225,575,146,188,818
  5. Step 5: Solve for x
    x = 11,225,575,146,188,818/75,237,853.50
  6. Step 6: Final answer
    x = 149,201,161.70

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