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Finding the Third Proportional to 133,668,186.75 and 212,692,358.25

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Solution

The third proportional to 133,668,186.75 and 212,692,358.25 is: 338,435,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,668,186.75 : 212,692,358.25 = 212,692,358.25 : x
  2. Step 2: Convert to fraction form
    133,668,186.75/212,692,358.25 = 212,692,358.25/x
  3. Step 3: Cross multiply
    133,668,186.75x = 212,692,358.25 × 212,692,358.25
  4. Step 4: Simplify right side
    133,668,186.75x = 45,238,039,257,946,344
  5. Step 5: Solve for x
    x = 45,238,039,257,946,344/133,668,186.75
  6. Step 6: Final answer
    x = 338,435,347.69

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Why These Related Problems?

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