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Finding the Third Proportional to 129,650,234,809.50 and 280,943,033,715

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Solution

The third proportional to 129,650,234,809.50 and 280,943,033,715 is: 608,783,997,259.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,650,234,809.50 : 280,943,033,715 = 280,943,033,715 : x
  2. Step 2: Convert to fraction form
    129,650,234,809.50/280,943,033,715 = 280,943,033,715/x
  3. Step 3: Cross multiply
    129,650,234,809.50x = 280,943,033,715 × 280,943,033,715
  4. Step 4: Simplify right side
    129,650,234,809.50x = 78,928,988,192,987,622,146,048
  5. Step 5: Solve for x
    x = 78,928,988,192,987,622,146,048/129,650,234,809.50
  6. Step 6: Final answer
    x = 608,783,997,259.71

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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.