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Finding the Third Proportional to 67,298,433.75 and 146,406,667.50

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Solution

The third proportional to 67,298,433.75 and 146,406,667.50 is: 318,505,366.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,433.75 : 146,406,667.50 = 146,406,667.50 : x
  2. Step 2: Convert to fraction form
    67,298,433.75/146,406,667.50 = 146,406,667.50/x
  3. Step 3: Cross multiply
    67,298,433.75x = 146,406,667.50 × 146,406,667.50
  4. Step 4: Simplify right side
    67,298,433.75x = 21,434,912,288,455,556
  5. Step 5: Solve for x
    x = 21,434,912,288,455,556/67,298,433.75
  6. Step 6: Final answer
    x = 318,505,366.23

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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.