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Finding the Third Proportional to 138,718,584 and 301,857,223

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Solution

The third proportional to 138,718,584 and 301,857,223 is: 656,853,468.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,718,584 : 301,857,223 = 301,857,223 : x
  2. Step 2: Convert to fraction form
    138,718,584/301,857,223 = 301,857,223/x
  3. Step 3: Cross multiply
    138,718,584x = 301,857,223 × 301,857,223
  4. Step 4: Simplify right side
    138,718,584x = 91,117,783,077,271,728
  5. Step 5: Solve for x
    x = 91,117,783,077,271,728/138,718,584
  6. Step 6: Final answer
    x = 656,853,468.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.