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Finding the Third Proportional to 118,816,094 and 189,059,768

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Solution

The third proportional to 118,816,094 and 189,059,768 is: 300,831,265.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,816,094 : 189,059,768 = 189,059,768 : x
  2. Step 2: Convert to fraction form
    118,816,094/189,059,768 = 189,059,768/x
  3. Step 3: Cross multiply
    118,816,094x = 189,059,768 × 189,059,768
  4. Step 4: Simplify right side
    118,816,094x = 35,743,595,876,213,824
  5. Step 5: Solve for x
    x = 35,743,595,876,213,824/118,816,094
  6. Step 6: Final answer
    x = 300,831,265.13

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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.