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Finding the Third Proportional to 176,993,821.69 and 277,651,079.44

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Solution

The third proportional to 176,993,821.69 and 277,651,079.44 is: 435,552,615.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,993,821.69 : 277,651,079.44 = 277,651,079.44 : x
  2. Step 2: Convert to fraction form
    176,993,821.69/277,651,079.44 = 277,651,079.44/x
  3. Step 3: Cross multiply
    176,993,821.69x = 277,651,079.44 × 277,651,079.44
  4. Step 4: Simplify right side
    176,993,821.69x = 77,090,121,912,808,928
  5. Step 5: Solve for x
    x = 77,090,121,912,808,928/176,993,821.69
  6. Step 6: Final answer
    x = 435,552,615.21

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.