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Finding the Third Proportional to 146,139,697.50 and 318,005,872.50

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Solution

The third proportional to 146,139,697.50 and 318,005,872.50 is: 691,993,597.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,139,697.50 : 318,005,872.50 = 318,005,872.50 : x
  2. Step 2: Convert to fraction form
    146,139,697.50/318,005,872.50 = 318,005,872.50/x
  3. Step 3: Cross multiply
    146,139,697.50x = 318,005,872.50 × 318,005,872.50
  4. Step 4: Simplify right side
    146,139,697.50x = 101,127,734,944,486,256
  5. Step 5: Solve for x
    x = 101,127,734,944,486,256/146,139,697.50
  6. Step 6: Final answer
    x = 691,993,597.05

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.