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Finding the Third Proportional to 217,439,252 and 460,063,720

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Solution

The third proportional to 217,439,252 and 460,063,720 is: 973,414,986.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,439,252 : 460,063,720 = 460,063,720 : x
  2. Step 2: Convert to fraction form
    217,439,252/460,063,720 = 460,063,720/x
  3. Step 3: Cross multiply
    217,439,252x = 460,063,720 × 460,063,720
  4. Step 4: Simplify right side
    217,439,252x = 211,658,626,460,238,400
  5. Step 5: Solve for x
    x = 211,658,626,460,238,400/217,439,252
  6. Step 6: Final answer
    x = 973,414,986.09

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.