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Finding the Third Proportional to 126,208,332 and 188,616,894.75

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Solution

The third proportional to 126,208,332 and 188,616,894.75 is: 281,885,771.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,208,332 : 188,616,894.75 = 188,616,894.75 : x
  2. Step 2: Convert to fraction form
    126,208,332/188,616,894.75 = 188,616,894.75/x
  3. Step 3: Cross multiply
    126,208,332x = 188,616,894.75 × 188,616,894.75
  4. Step 4: Simplify right side
    126,208,332x = 35,576,332,985,132,576
  5. Step 5: Solve for x
    x = 35,576,332,985,132,576/126,208,332
  6. Step 6: Final answer
    x = 281,885,771.10

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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.