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Finding the Third Proportional to 118,584,109.50 and 177,178,647

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Solution

The third proportional to 118,584,109.50 and 177,178,647 is: 264,725,797.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,584,109.50 : 177,178,647 = 177,178,647 : x
  2. Step 2: Convert to fraction form
    118,584,109.50/177,178,647 = 177,178,647/x
  3. Step 3: Cross multiply
    118,584,109.50x = 177,178,647 × 177,178,647
  4. Step 4: Simplify right side
    118,584,109.50x = 31,392,272,952,750,608
  5. Step 5: Solve for x
    x = 31,392,272,952,750,608/118,584,109.50
  6. Step 6: Final answer
    x = 264,725,797.45

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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.