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Finding the Third Proportional to 75,407,695.50 and 115,303,026

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Solution

The third proportional to 75,407,695.50 and 115,303,026 is: 176,305,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,407,695.50 : 115,303,026 = 115,303,026 : x
  2. Step 2: Convert to fraction form
    75,407,695.50/115,303,026 = 115,303,026/x
  3. Step 3: Cross multiply
    75,407,695.50x = 115,303,026 × 115,303,026
  4. Step 4: Simplify right side
    75,407,695.50x = 13,294,787,804,756,676
  5. Step 5: Solve for x
    x = 13,294,787,804,756,676/75,407,695.50
  6. Step 6: Final answer
    x = 176,305,451.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.