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Finding the Third Proportional to 182,603,596.50 and 371,584,464.75

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Solution

The third proportional to 182,603,596.50 and 371,584,464.75 is: 756,146,193.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,603,596.50 : 371,584,464.75 = 371,584,464.75 : x
  2. Step 2: Convert to fraction form
    182,603,596.50/371,584,464.75 = 371,584,464.75/x
  3. Step 3: Cross multiply
    182,603,596.50x = 371,584,464.75 × 371,584,464.75
  4. Step 4: Simplify right side
    182,603,596.50x = 138,075,014,443,544,000
  5. Step 5: Solve for x
    x = 138,075,014,443,544,000/182,603,596.50
  6. Step 6: Final answer
    x = 756,146,193.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.