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Finding the Third Proportional to 164,647,418.25 and 325,130,786.25

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Solution

The third proportional to 164,647,418.25 and 325,130,786.25 is: 642,038,783.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647,418.25 : 325,130,786.25 = 325,130,786.25 : x
  2. Step 2: Convert to fraction form
    164,647,418.25/325,130,786.25 = 325,130,786.25/x
  3. Step 3: Cross multiply
    164,647,418.25x = 325,130,786.25 × 325,130,786.25
  4. Step 4: Simplify right side
    164,647,418.25x = 105,710,028,167,543,184
  5. Step 5: Solve for x
    x = 105,710,028,167,543,184/164,647,418.25
  6. Step 6: Final answer
    x = 642,038,783.79

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.