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Finding the Third Proportional to 149,468,883.75 and 326,135,981.25

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Solution

The third proportional to 149,468,883.75 and 326,135,981.25 is: 711,617,532.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,468,883.75 : 326,135,981.25 = 326,135,981.25 : x
  2. Step 2: Convert to fraction form
    149,468,883.75/326,135,981.25 = 326,135,981.25/x
  3. Step 3: Cross multiply
    149,468,883.75x = 326,135,981.25 × 326,135,981.25
  4. Step 4: Simplify right side
    149,468,883.75x = 106,364,678,265,900,352
  5. Step 5: Solve for x
    x = 106,364,678,265,900,352/149,468,883.75
  6. Step 6: Final answer
    x = 711,617,532.68

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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.