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Finding the Third Proportional to 126,207,946 and 188,808,910

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Solution

The third proportional to 126,207,946 and 188,808,910 is: 282,460,856.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,207,946 : 188,808,910 = 188,808,910 : x
  2. Step 2: Convert to fraction form
    126,207,946/188,808,910 = 188,808,910/x
  3. Step 3: Cross multiply
    126,207,946x = 188,808,910 × 188,808,910
  4. Step 4: Simplify right side
    126,207,946x = 35,648,804,495,388,100
  5. Step 5: Solve for x
    x = 35,648,804,495,388,100/126,207,946
  6. Step 6: Final answer
    x = 282,460,856.27

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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.