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Finding the Third Proportional to 174,612,419.50 and 380,225,561

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Solution

The third proportional to 174,612,419.50 and 380,225,561 is: 827,956,440.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612,419.50 : 380,225,561 = 380,225,561 : x
  2. Step 2: Convert to fraction form
    174,612,419.50/380,225,561 = 380,225,561/x
  3. Step 3: Cross multiply
    174,612,419.50x = 380,225,561 × 380,225,561
  4. Step 4: Simplify right side
    174,612,419.50x = 144,571,477,237,764,736
  5. Step 5: Solve for x
    x = 144,571,477,237,764,736/174,612,419.50
  6. Step 6: Final answer
    x = 827,956,440.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.