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Finding the Third Proportional to 219,529,888 and 433,507,709

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Solution

The third proportional to 219,529,888 and 433,507,709 is: 856,051,699.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,529,888 : 433,507,709 = 433,507,709 : x
  2. Step 2: Convert to fraction form
    219,529,888/433,507,709 = 433,507,709/x
  3. Step 3: Cross multiply
    219,529,888x = 433,507,709 × 433,507,709
  4. Step 4: Simplify right side
    219,529,888x = 187,928,933,762,428,672
  5. Step 5: Solve for x
    x = 187,928,933,762,428,672/219,529,888
  6. Step 6: Final answer
    x = 856,051,699.72

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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.