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Finding the Third Proportional to 133,069,027.50 and 291,223,577

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Solution

The third proportional to 133,069,027.50 and 291,223,577 is: 637,347,197.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069,027.50 : 291,223,577 = 291,223,577 : x
  2. Step 2: Convert to fraction form
    133,069,027.50/291,223,577 = 291,223,577/x
  3. Step 3: Cross multiply
    133,069,027.50x = 291,223,577 × 291,223,577
  4. Step 4: Simplify right side
    133,069,027.50x = 84,811,171,800,674,928
  5. Step 5: Solve for x
    x = 84,811,171,800,674,928/133,069,027.50
  6. Step 6: Final answer
    x = 637,347,197.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.