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Finding the Third Proportional to 65,512,124 and 102,760,326

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Solution

The third proportional to 65,512,124 and 102,760,326 is: 161,186,723.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,512,124 : 102,760,326 = 102,760,326 : x
  2. Step 2: Convert to fraction form
    65,512,124/102,760,326 = 102,760,326/x
  3. Step 3: Cross multiply
    65,512,124x = 102,760,326 × 102,760,326
  4. Step 4: Simplify right side
    65,512,124x = 10,559,684,599,626,276
  5. Step 5: Solve for x
    x = 10,559,684,599,626,276/65,512,124
  6. Step 6: Final answer
    x = 161,186,723.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.