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Finding the Third Proportional to 75,524,085 and 116,622,401.06

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Solution

The third proportional to 75,524,085 and 116,622,401.06 is: 180,085,391.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,524,085 : 116,622,401.06 = 116,622,401.06 : x
  2. Step 2: Convert to fraction form
    75,524,085/116,622,401.06 = 116,622,401.06/x
  3. Step 3: Cross multiply
    75,524,085x = 116,622,401.06 × 116,622,401.06
  4. Step 4: Simplify right side
    75,524,085x = 13,600,784,429,582,602
  5. Step 5: Solve for x
    x = 13,600,784,429,582,602/75,524,085
  6. Step 6: Final answer
    x = 180,085,391.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.