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Finding the Third Proportional to 45,067.64 and 97,362.63

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Solution

The third proportional to 45,067.64 and 97,362.63 is: 210,339.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,067.64 : 97,362.63 = 97,362.63 : x
  2. Step 2: Convert to fraction form
    45,067.64/97,362.63 = 97,362.63/x
  3. Step 3: Cross multiply
    45,067.64x = 97,362.63 × 97,362.63
  4. Step 4: Simplify right side
    45,067.64x = 9,479,482,268.18
  5. Step 5: Solve for x
    x = 9,479,482,268.18/45,067.64
  6. Step 6: Final answer
    x = 210,339.00

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Why These Related Problems?

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