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Finding the Third Proportional to 171,945,577.50 and 363,298,756.50

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Solution

The third proportional to 171,945,577.50 and 363,298,756.50 is: 767,603,263.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,945,577.50 : 363,298,756.50 = 363,298,756.50 : x
  2. Step 2: Convert to fraction form
    171,945,577.50/363,298,756.50 = 363,298,756.50/x
  3. Step 3: Cross multiply
    171,945,577.50x = 363,298,756.50 × 363,298,756.50
  4. Step 4: Simplify right side
    171,945,577.50x = 131,985,986,474,446,288
  5. Step 5: Solve for x
    x = 131,985,986,474,446,288/171,945,577.50
  6. Step 6: Final answer
    x = 767,603,263.74

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.