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Finding the Third Proportional to 216,883.13 and 460,010.25

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Solution

The third proportional to 216,883.13 and 460,010.25 is: 975,684.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,883.13 : 460,010.25 = 460,010.25 : x
  2. Step 2: Convert to fraction form
    216,883.13/460,010.25 = 460,010.25/x
  3. Step 3: Cross multiply
    216,883.13x = 460,010.25 × 460,010.25
  4. Step 4: Simplify right side
    216,883.13x = 211,609,430,105.06
  5. Step 5: Solve for x
    x = 211,609,430,105.06/216,883.13
  6. Step 6: Final answer
    x = 975,684.16

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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.