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Finding the Third Proportional to 164,647,417.50 and 325,130,784.75

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Solution

The third proportional to 164,647,417.50 and 325,130,784.75 is: 642,038,780.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,647,417.50 : 325,130,784.75 = 325,130,784.75 : x
  2. Step 2: Convert to fraction form
    164,647,417.50/325,130,784.75 = 325,130,784.75/x
  3. Step 3: Cross multiply
    164,647,417.50x = 325,130,784.75 × 325,130,784.75
  4. Step 4: Simplify right side
    164,647,417.50x = 105,710,027,192,150,832
  5. Step 5: Solve for x
    x = 105,710,027,192,150,832/164,647,417.50
  6. Step 6: Final answer
    x = 642,038,780.79

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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.