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Finding the Third Proportional to 106,525,216.13 and 229,229,858.25

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Solution

The third proportional to 106,525,216.13 and 229,229,858.25 is: 493,275,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,525,216.13 : 229,229,858.25 = 229,229,858.25 : x
  2. Step 2: Convert to fraction form
    106,525,216.13/229,229,858.25 = 229,229,858.25/x
  3. Step 3: Cross multiply
    106,525,216.13x = 229,229,858.25 × 229,229,858.25
  4. Step 4: Simplify right side
    106,525,216.13x = 52,546,327,913,315,096
  5. Step 5: Solve for x
    x = 52,546,327,913,315,096/106,525,216.13
  6. Step 6: Final answer
    x = 493,275,956.86

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1.5x scale

Why These Related Problems?

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