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Finding the Third Proportional to 219,529,889 and 433,507,712

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Solution

The third proportional to 219,529,889 and 433,507,712 is: 856,051,707.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,529,889 : 433,507,712 = 433,507,712 : x
  2. Step 2: Convert to fraction form
    219,529,889/433,507,712 = 433,507,712/x
  3. Step 3: Cross multiply
    219,529,889x = 433,507,712 × 433,507,712
  4. Step 4: Simplify right side
    219,529,889x = 187,928,936,363,474,944
  5. Step 5: Solve for x
    x = 187,928,936,363,474,944/219,529,889
  6. Step 6: Final answer
    x = 856,051,707.67

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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.