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Finding the Third Proportional to 191,903,567 and 280,658,104

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Solution

The third proportional to 191,903,567 and 280,658,104 is: 410,461,215.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,567 : 280,658,104 = 280,658,104 : x
  2. Step 2: Convert to fraction form
    191,903,567/280,658,104 = 280,658,104/x
  3. Step 3: Cross multiply
    191,903,567x = 280,658,104 × 280,658,104
  4. Step 4: Simplify right side
    191,903,567x = 78,768,971,340,874,816
  5. Step 5: Solve for x
    x = 78,768,971,340,874,816/191,903,567
  6. Step 6: Final answer
    x = 410,461,215.35

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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.