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Finding the Third Proportional to 67,298,224 and 146,406,248

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Solution

The third proportional to 67,298,224 and 146,406,248 is: 318,504,533.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,224 : 146,406,248 = 146,406,248 : x
  2. Step 2: Convert to fraction form
    67,298,224/146,406,248 = 146,406,248/x
  3. Step 3: Cross multiply
    67,298,224x = 146,406,248 × 146,406,248
  4. Step 4: Simplify right side
    67,298,224x = 21,434,789,453,437,504
  5. Step 5: Solve for x
    x = 21,434,789,453,437,504/67,298,224
  6. Step 6: Final answer
    x = 318,504,533.69

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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.