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Finding the Third Proportional to 81,202,344 and 116,716,284

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Solution

The third proportional to 81,202,344 and 116,716,284 is: 167,762,287.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202,344 : 116,716,284 = 116,716,284 : x
  2. Step 2: Convert to fraction form
    81,202,344/116,716,284 = 116,716,284/x
  3. Step 3: Cross multiply
    81,202,344x = 116,716,284 × 116,716,284
  4. Step 4: Simplify right side
    81,202,344x = 13,622,690,950,768,656
  5. Step 5: Solve for x
    x = 13,622,690,950,768,656/81,202,344
  6. Step 6: Final answer
    x = 167,762,287.14

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.