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Finding the Third Proportional to 129,650,234,811 and 280,943,033,718

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Solution

The third proportional to 129,650,234,811 and 280,943,033,718 is: 608,783,997,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,650,234,811 : 280,943,033,718 = 280,943,033,718 : x
  2. Step 2: Convert to fraction form
    129,650,234,811/280,943,033,718 = 280,943,033,718/x
  3. Step 3: Cross multiply
    129,650,234,811x = 280,943,033,718 × 280,943,033,718
  4. Step 4: Simplify right side
    129,650,234,811x = 78,928,988,194,673,279,369,216
  5. Step 5: Solve for x
    x = 78,928,988,194,673,279,369,216/129,650,234,811
  6. Step 6: Final answer
    x = 608,783,997,265.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.