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Finding the Third Proportional to 98,656.88 and 213,079.50

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Solution

The third proportional to 98,656.88 and 213,079.50 is: 460,209.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,656.88 : 213,079.50 = 213,079.50 : x
  2. Step 2: Convert to fraction form
    98,656.88/213,079.50 = 213,079.50/x
  3. Step 3: Cross multiply
    98,656.88x = 213,079.50 × 213,079.50
  4. Step 4: Simplify right side
    98,656.88x = 45,402,873,320.25
  5. Step 5: Solve for x
    x = 45,402,873,320.25/98,656.88
  6. Step 6: Final answer
    x = 460,209.93

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.