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Finding the Third Proportional to 45,464.63 and 98,799.75

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Solution

The third proportional to 45,464.63 and 98,799.75 is: 214,702.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,464.63 : 98,799.75 = 98,799.75 : x
  2. Step 2: Convert to fraction form
    45,464.63/98,799.75 = 98,799.75/x
  3. Step 3: Cross multiply
    45,464.63x = 98,799.75 × 98,799.75
  4. Step 4: Simplify right side
    45,464.63x = 9,761,390,600.06
  5. Step 5: Solve for x
    x = 9,761,390,600.06/45,464.63
  6. Step 6: Final answer
    x = 214,702.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.