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Finding the Third Proportional to 75,537,339.75 and 120,116,008.69

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Solution

The third proportional to 75,537,339.75 and 120,116,008.69 is: 191,002,960.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,537,339.75 : 120,116,008.69 = 120,116,008.69 : x
  2. Step 2: Convert to fraction form
    75,537,339.75/120,116,008.69 = 120,116,008.69/x
  3. Step 3: Cross multiply
    75,537,339.75x = 120,116,008.69 × 120,116,008.69
  4. Step 4: Simplify right side
    75,537,339.75x = 14,427,855,543,015,576
  5. Step 5: Solve for x
    x = 14,427,855,543,015,576/75,537,339.75
  6. Step 6: Final answer
    x = 191,002,960.80

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.