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Finding the Third Proportional to 164,760,968.75 and 355,037,777.50

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Solution

The third proportional to 164,760,968.75 and 355,037,777.50 is: 765,058,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,760,968.75 : 355,037,777.50 = 355,037,777.50 : x
  2. Step 2: Convert to fraction form
    164,760,968.75/355,037,777.50 = 355,037,777.50/x
  3. Step 3: Cross multiply
    164,760,968.75x = 355,037,777.50 × 355,037,777.50
  4. Step 4: Simplify right side
    164,760,968.75x = 126,051,823,452,139,504
  5. Step 5: Solve for x
    x = 126,051,823,452,139,504/164,760,968.75
  6. Step 6: Final answer
    x = 765,058,766.09

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.