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Finding the Third Proportional to 169,525,744 and 366,148,252

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Solution

The third proportional to 169,525,744 and 366,148,252 is: 790,821,141.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,525,744 : 366,148,252 = 366,148,252 : x
  2. Step 2: Convert to fraction form
    169,525,744/366,148,252 = 366,148,252/x
  3. Step 3: Cross multiply
    169,525,744x = 366,148,252 × 366,148,252
  4. Step 4: Simplify right side
    169,525,744x = 134,064,542,442,655,504
  5. Step 5: Solve for x
    x = 134,064,542,442,655,504/169,525,744
  6. Step 6: Final answer
    x = 790,821,141.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.