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Finding the Third Proportional to 176,618,880 and 263,205,348.75

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Solution

The third proportional to 176,618,880 and 263,205,348.75 is: 392,240,374.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,618,880 : 263,205,348.75 = 263,205,348.75 : x
  2. Step 2: Convert to fraction form
    176,618,880/263,205,348.75 = 263,205,348.75/x
  3. Step 3: Cross multiply
    176,618,880x = 263,205,348.75 × 263,205,348.75
  4. Step 4: Simplify right side
    176,618,880x = 69,277,055,610,609,128
  5. Step 5: Solve for x
    x = 69,277,055,610,609,128/176,618,880
  6. Step 6: Final answer
    x = 392,240,374.36

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.