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Finding the Third Proportional to 78,211,198.50 and 118,323,438.75

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Solution

The third proportional to 78,211,198.50 and 118,323,438.75 is: 179,008,075.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,211,198.50 : 118,323,438.75 = 118,323,438.75 : x
  2. Step 2: Convert to fraction form
    78,211,198.50/118,323,438.75 = 118,323,438.75/x
  3. Step 3: Cross multiply
    78,211,198.50x = 118,323,438.75 × 118,323,438.75
  4. Step 4: Simplify right side
    78,211,198.50x = 14,000,436,157,625,002
  5. Step 5: Solve for x
    x = 14,000,436,157,625,002/78,211,198.50
  6. Step 6: Final answer
    x = 179,008,075.90

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.