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Finding the Third Proportional to 216,880.88 and 460,005.75

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Solution

The third proportional to 216,880.88 and 460,005.75 is: 975,675.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,880.88 : 460,005.75 = 460,005.75 : x
  2. Step 2: Convert to fraction form
    216,880.88/460,005.75 = 460,005.75/x
  3. Step 3: Cross multiply
    216,880.88x = 460,005.75 × 460,005.75
  4. Step 4: Simplify right side
    216,880.88x = 211,605,290,033.06
  5. Step 5: Solve for x
    x = 211,605,290,033.06/216,880.88
  6. Step 6: Final answer
    x = 975,675.20

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Why These Related Problems?

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