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Finding the Third Proportional to 191,817,774 and 280,444,294.50

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Solution

The third proportional to 191,817,774 and 280,444,294.50 is: 410,019,367.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,817,774 : 280,444,294.50 = 280,444,294.50 : x
  2. Step 2: Convert to fraction form
    191,817,774/280,444,294.50 = 280,444,294.50/x
  3. Step 3: Cross multiply
    191,817,774x = 280,444,294.50 × 280,444,294.50
  4. Step 4: Simplify right side
    191,817,774x = 78,649,002,317,602,736
  5. Step 5: Solve for x
    x = 78,649,002,317,602,736/191,817,774
  6. Step 6: Final answer
    x = 410,019,367.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.