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Finding the Third Proportional to 48,486,328.50 and 75,284,266.50

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Solution

The third proportional to 48,486,328.50 and 75,284,266.50 is: 116,893,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,486,328.50 : 75,284,266.50 = 75,284,266.50 : x
  2. Step 2: Convert to fraction form
    48,486,328.50/75,284,266.50 = 75,284,266.50/x
  3. Step 3: Cross multiply
    48,486,328.50x = 75,284,266.50 × 75,284,266.50
  4. Step 4: Simplify right side
    48,486,328.50x = 5,667,720,782,443,022
  5. Step 5: Solve for x
    x = 5,667,720,782,443,022/48,486,328.50
  6. Step 6: Final answer
    x = 116,893,172.94

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.