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Finding the Third Proportional to 81,202,346 and 116,716,287

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Solution

The third proportional to 81,202,346 and 116,716,287 is: 167,762,291.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,202,346 : 116,716,287 = 116,716,287 : x
  2. Step 2: Convert to fraction form
    81,202,346/116,716,287 = 116,716,287/x
  3. Step 3: Cross multiply
    81,202,346x = 116,716,287 × 116,716,287
  4. Step 4: Simplify right side
    81,202,346x = 13,622,691,651,066,368
  5. Step 5: Solve for x
    x = 13,622,691,651,066,368/81,202,346
  6. Step 6: Final answer
    x = 167,762,291.63

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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.