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Finding the Third Proportional to 180,176,713 and 280,799,170.69

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Solution

The third proportional to 180,176,713 and 280,799,170.69 is: 437,615,788.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,176,713 : 280,799,170.69 = 280,799,170.69 : x
  2. Step 2: Convert to fraction form
    180,176,713/280,799,170.69 = 280,799,170.69/x
  3. Step 3: Cross multiply
    180,176,713x = 280,799,170.69 × 280,799,170.69
  4. Step 4: Simplify right side
    180,176,713x = 78,848,174,258,787,760
  5. Step 5: Solve for x
    x = 78,848,174,258,787,760/180,176,713
  6. Step 6: Final answer
    x = 437,615,788.11

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.