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Finding the Third Proportional to 191,903,569 and 280,658,107

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Solution

The third proportional to 191,903,569 and 280,658,107 is: 410,461,219.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,903,569 : 280,658,107 = 280,658,107 : x
  2. Step 2: Convert to fraction form
    191,903,569/280,658,107 = 280,658,107/x
  3. Step 3: Cross multiply
    191,903,569x = 280,658,107 × 280,658,107
  4. Step 4: Simplify right side
    191,903,569x = 78,768,973,024,823,456
  5. Step 5: Solve for x
    x = 78,768,973,024,823,456/191,903,569
  6. Step 6: Final answer
    x = 410,461,219.85

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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.