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Finding the Third Proportional to 185,389,148 and 280,469,735

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Solution

The third proportional to 185,389,148 and 280,469,735 is: 424,314,330.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,389,148 : 280,469,735 = 280,469,735 : x
  2. Step 2: Convert to fraction form
    185,389,148/280,469,735 = 280,469,735/x
  3. Step 3: Cross multiply
    185,389,148x = 280,469,735 × 280,469,735
  4. Step 4: Simplify right side
    185,389,148x = 78,663,272,250,970,224
  5. Step 5: Solve for x
    x = 78,663,272,250,970,224/185,389,148
  6. Step 6: Final answer
    x = 424,314,330.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.