Home / 208,154,641,764.75-280,849,485,314.25

Finding the Third Proportional to 208,154,641,764.75 and 280,849,485,314.25

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Solution

The third proportional to 208,154,641,764.75 and 280,849,485,314.25 is: 378,931,897,614.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,154,641,764.75 : 280,849,485,314.25 = 280,849,485,314.25 : x
  2. Step 2: Convert to fraction form
    208,154,641,764.75/280,849,485,314.25 = 280,849,485,314.25/x
  3. Step 3: Cross multiply
    208,154,641,764.75x = 280,849,485,314.25 × 280,849,485,314.25
  4. Step 4: Simplify right side
    208,154,641,764.75x = 78,876,433,401,279,118,573,568
  5. Step 5: Solve for x
    x = 78,876,433,401,279,118,573,568/208,154,641,764.75
  6. Step 6: Final answer
    x = 378,931,897,614.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.