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Finding the Third Proportional to 118,816,106 and 189,059,787

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Solution

The third proportional to 118,816,106 and 189,059,787 is: 300,831,295.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,816,106 : 189,059,787 = 189,059,787 : x
  2. Step 2: Convert to fraction form
    118,816,106/189,059,787 = 189,059,787/x
  3. Step 3: Cross multiply
    118,816,106x = 189,059,787 × 189,059,787
  4. Step 4: Simplify right side
    118,816,106x = 35,743,603,060,485,368
  5. Step 5: Solve for x
    x = 35,743,603,060,485,368/118,816,106
  6. Step 6: Final answer
    x = 300,831,295.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.