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Finding the Third Proportional to 98,870.63 and 210,853.13

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Solution

The third proportional to 98,870.63 and 210,853.13 is: 449,668.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,870.63 : 210,853.13 = 210,853.13 : x
  2. Step 2: Convert to fraction form
    98,870.63/210,853.13 = 210,853.13/x
  3. Step 3: Cross multiply
    98,870.63x = 210,853.13 × 210,853.13
  4. Step 4: Simplify right side
    98,870.63x = 44,459,040,322.27
  5. Step 5: Solve for x
    x = 44,459,040,322.27/98,870.63
  6. Step 6: Final answer
    x = 449,668.85

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.