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Finding the Third Proportional to 133,668,121.50 and 212,692,263.75

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Solution

The third proportional to 133,668,121.50 and 212,692,263.75 is: 338,435,212.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,121.50 : 212,692,263.75 = 212,692,263.75 : x
  2. Step 2: Convert to fraction form
    133,668,121.50/212,692,263.75 = 212,692,263.75/x
  3. Step 3: Cross multiply
    133,668,121.50x = 212,692,263.75 × 212,692,263.75
  4. Step 4: Simplify right side
    133,668,121.50x = 45,237,999,059,099,568
  5. Step 5: Solve for x
    x = 45,237,999,059,099,568/133,668,121.50
  6. Step 6: Final answer
    x = 338,435,212.16

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.