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Finding the Third Proportional to 185,320,584 and 279,880,112.25

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Solution

The third proportional to 185,320,584 and 279,880,112.25 is: 422,688,486.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,320,584 : 279,880,112.25 = 279,880,112.25 : x
  2. Step 2: Convert to fraction form
    185,320,584/279,880,112.25 = 279,880,112.25/x
  3. Step 3: Cross multiply
    185,320,584x = 279,880,112.25 × 279,880,112.25
  4. Step 4: Simplify right side
    185,320,584x = 78,332,877,233,072,608
  5. Step 5: Solve for x
    x = 78,332,877,233,072,608/185,320,584
  6. Step 6: Final answer
    x = 422,688,486.85

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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.