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Finding the Third Proportional to 219,343,305 and 481,735,518

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Solution

The third proportional to 219,343,305 and 481,735,518 is: 1,058,017,746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,343,305 : 481,735,518 = 481,735,518 : x
  2. Step 2: Convert to fraction form
    219,343,305/481,735,518 = 481,735,518/x
  3. Step 3: Cross multiply
    219,343,305x = 481,735,518 × 481,735,518
  4. Step 4: Simplify right side
    219,343,305x = 232,069,109,302,728,320
  5. Step 5: Solve for x
    x = 232,069,109,302,728,320/219,343,305
  6. Step 6: Final answer
    x = 1,058,017,746.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.