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Finding the Third Proportional to 141,980,350.50 and 218,099,263.50

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Solution

The third proportional to 141,980,350.50 and 218,099,263.50 is: 335,027,266.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,980,350.50 : 218,099,263.50 = 218,099,263.50 : x
  2. Step 2: Convert to fraction form
    141,980,350.50/218,099,263.50 = 218,099,263.50/x
  3. Step 3: Cross multiply
    141,980,350.50x = 218,099,263.50 × 218,099,263.50
  4. Step 4: Simplify right side
    141,980,350.50x = 47,567,288,739,242,432
  5. Step 5: Solve for x
    x = 47,567,288,739,242,432/141,980,350.50
  6. Step 6: Final answer
    x = 335,027,266.60

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.