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Finding the Third Proportional to 53,315.13 and 116,643.88

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Solution

The third proportional to 53,315.13 and 116,643.88 is: 255,195.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,315.13 : 116,643.88 = 116,643.88 : x
  2. Step 2: Convert to fraction form
    53,315.13/116,643.88 = 116,643.88/x
  3. Step 3: Cross multiply
    53,315.13x = 116,643.88 × 116,643.88
  4. Step 4: Simplify right side
    53,315.13x = 13,605,793,575.02
  5. Step 5: Solve for x
    x = 13,605,793,575.02/53,315.13
  6. Step 6: Final answer
    x = 255,195.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.