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Finding the Third Proportional to 126,207,948 and 188,808,913

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Solution

The third proportional to 126,207,948 and 188,808,913 is: 282,460,860.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,207,948 : 188,808,913 = 188,808,913 : x
  2. Step 2: Convert to fraction form
    126,207,948/188,808,913 = 188,808,913/x
  3. Step 3: Cross multiply
    126,207,948x = 188,808,913 × 188,808,913
  4. Step 4: Simplify right side
    126,207,948x = 35,648,805,628,241,568
  5. Step 5: Solve for x
    x = 35,648,805,628,241,568/126,207,948
  6. Step 6: Final answer
    x = 282,460,860.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.