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Finding the Third Proportional to 114,931,794 and 255,372,756.75

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Solution

The third proportional to 114,931,794 and 255,372,756.75 is: 567,425,623.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,931,794 : 255,372,756.75 = 255,372,756.75 : x
  2. Step 2: Convert to fraction form
    114,931,794/255,372,756.75 = 255,372,756.75/x
  3. Step 3: Cross multiply
    114,931,794x = 255,372,756.75 × 255,372,756.75
  4. Step 4: Simplify right side
    114,931,794x = 65,215,244,890,094,672
  5. Step 5: Solve for x
    x = 65,215,244,890,094,672/114,931,794
  6. Step 6: Final answer
    x = 567,425,623.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.