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Finding the Third Proportional to 219,529,890 and 433,507,713

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Solution

The third proportional to 219,529,890 and 433,507,713 is: 856,051,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,529,890 : 433,507,713 = 433,507,713 : x
  2. Step 2: Convert to fraction form
    219,529,890/433,507,713 = 433,507,713/x
  3. Step 3: Cross multiply
    219,529,890x = 433,507,713 × 433,507,713
  4. Step 4: Simplify right side
    219,529,890x = 187,928,937,230,490,368
  5. Step 5: Solve for x
    x = 187,928,937,230,490,368/219,529,890
  6. Step 6: Final answer
    x = 856,051,707.72

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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.