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Finding the Third Proportional to 219,529,887 and 433,507,707.75

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Solution

The third proportional to 219,529,887 and 433,507,707.75 is: 856,051,698.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,529,887 : 433,507,707.75 = 433,507,707.75 : x
  2. Step 2: Convert to fraction form
    219,529,887/433,507,707.75 = 433,507,707.75/x
  3. Step 3: Cross multiply
    219,529,887x = 433,507,707.75 × 433,507,707.75
  4. Step 4: Simplify right side
    219,529,887x = 187,928,932,678,659,424
  5. Step 5: Solve for x
    x = 187,928,932,678,659,424/219,529,887
  6. Step 6: Final answer
    x = 856,051,698.69

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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.