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Finding the Third Proportional to 77,533,696.13 and 120,039,220.69

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Solution

The third proportional to 77,533,696.13 and 120,039,220.69 is: 185,847,124.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,533,696.13 : 120,039,220.69 = 120,039,220.69 : x
  2. Step 2: Convert to fraction form
    77,533,696.13/120,039,220.69 = 120,039,220.69/x
  3. Step 3: Cross multiply
    77,533,696.13x = 120,039,220.69 × 120,039,220.69
  4. Step 4: Simplify right side
    77,533,696.13x = 14,409,414,503,262,328
  5. Step 5: Solve for x
    x = 14,409,414,503,262,328/77,533,696.13
  6. Step 6: Final answer
    x = 185,847,124.84

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Why These Related Problems?

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