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Finding the Third Proportional to 73,177,205.63 and 107,012,648.81

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Solution

The third proportional to 73,177,205.63 and 107,012,648.81 is: 156,492,816.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,177,205.63 : 107,012,648.81 = 107,012,648.81 : x
  2. Step 2: Convert to fraction form
    73,177,205.63/107,012,648.81 = 107,012,648.81/x
  3. Step 3: Cross multiply
    73,177,205.63x = 107,012,648.81 × 107,012,648.81
  4. Step 4: Simplify right side
    73,177,205.63x = 11,451,707,005,867,458
  5. Step 5: Solve for x
    x = 11,451,707,005,867,458/73,177,205.63
  6. Step 6: Final answer
    x = 156,492,816.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.