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Finding the Third Proportional to 223,958,211.50 and 347,728,667.50

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Solution

The third proportional to 223,958,211.50 and 347,728,667.50 is: 539,900,838.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,958,211.50 : 347,728,667.50 = 347,728,667.50 : x
  2. Step 2: Convert to fraction form
    223,958,211.50/347,728,667.50 = 347,728,667.50/x
  3. Step 3: Cross multiply
    223,958,211.50x = 347,728,667.50 × 347,728,667.50
  4. Step 4: Simplify right side
    223,958,211.50x = 120,915,226,201,325,552
  5. Step 5: Solve for x
    x = 120,915,226,201,325,552/223,958,211.50
  6. Step 6: Final answer
    x = 539,900,838.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.