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Finding the Third Proportional to 67,298,220 and 146,406,240

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Solution

The third proportional to 67,298,220 and 146,406,240 is: 318,504,517.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,298,220 : 146,406,240 = 146,406,240 : x
  2. Step 2: Convert to fraction form
    67,298,220/146,406,240 = 146,406,240/x
  3. Step 3: Cross multiply
    67,298,220x = 146,406,240 × 146,406,240
  4. Step 4: Simplify right side
    67,298,220x = 21,434,787,110,937,600
  5. Step 5: Solve for x
    x = 21,434,787,110,937,600/67,298,220
  6. Step 6: Final answer
    x = 318,504,517.82

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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.