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Finding the Third Proportional to 98,433.98 and 215,935.88

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Solution

The third proportional to 98,433.98 and 215,935.88 is: 473,701.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,433.98 : 215,935.88 = 215,935.88 : x
  2. Step 2: Convert to fraction form
    98,433.98/215,935.88 = 215,935.88/x
  3. Step 3: Cross multiply
    98,433.98x = 215,935.88 × 215,935.88
  4. Step 4: Simplify right side
    98,433.98x = 46,628,302,112.02
  5. Step 5: Solve for x
    x = 46,628,302,112.02/98,433.98
  6. Step 6: Final answer
    x = 473,701.26

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Why These Related Problems?

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