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Finding the Third Proportional to 82,026,969.75 and 178,136,790.75

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Solution

The third proportional to 82,026,969.75 and 178,136,790.75 is: 386,857,107.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026,969.75 : 178,136,790.75 = 178,136,790.75 : x
  2. Step 2: Convert to fraction form
    82,026,969.75/178,136,790.75 = 178,136,790.75/x
  3. Step 3: Cross multiply
    82,026,969.75x = 178,136,790.75 × 178,136,790.75
  4. Step 4: Simplify right side
    82,026,969.75x = 31,732,716,218,709,284
  5. Step 5: Solve for x
    x = 31,732,716,218,709,284/82,026,969.75
  6. Step 6: Final answer
    x = 386,857,107.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.