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Finding the Third Proportional to 137,789,385 and 204,101,141

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Solution

The third proportional to 137,789,385 and 204,101,141 is: 302,325,725.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,789,385 : 204,101,141 = 204,101,141 : x
  2. Step 2: Convert to fraction form
    137,789,385/204,101,141 = 204,101,141/x
  3. Step 3: Cross multiply
    137,789,385x = 204,101,141 × 204,101,141
  4. Step 4: Simplify right side
    137,789,385x = 41,657,275,757,501,880
  5. Step 5: Solve for x
    x = 41,657,275,757,501,880/137,789,385
  6. Step 6: Final answer
    x = 302,325,725.29

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.