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Finding the Third Proportional to 189,764,221.50 and 293,246,779.50

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Solution

The third proportional to 189,764,221.50 and 293,246,779.50 is: 453,160,627.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,764,221.50 : 293,246,779.50 = 293,246,779.50 : x
  2. Step 2: Convert to fraction form
    189,764,221.50/293,246,779.50 = 293,246,779.50/x
  3. Step 3: Cross multiply
    189,764,221.50x = 293,246,779.50 × 293,246,779.50
  4. Step 4: Simplify right side
    189,764,221.50x = 85,993,673,687,121,616
  5. Step 5: Solve for x
    x = 85,993,673,687,121,616/189,764,221.50
  6. Step 6: Final answer
    x = 453,160,627.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.