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Finding the Third Proportional to 138,277,082.25 and 301,887,570

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Solution

The third proportional to 138,277,082.25 and 301,887,570 is: 659,083,222.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,277,082.25 : 301,887,570 = 301,887,570 : x
  2. Step 2: Convert to fraction form
    138,277,082.25/301,887,570 = 301,887,570/x
  3. Step 3: Cross multiply
    138,277,082.25x = 301,887,570 × 301,887,570
  4. Step 4: Simplify right side
    138,277,082.25x = 91,136,104,920,504,896
  5. Step 5: Solve for x
    x = 91,136,104,920,504,896/138,277,082.25
  6. Step 6: Final answer
    x = 659,083,222.16

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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.