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Finding the Third Proportional to 45,275.63 and 98,330.06

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Solution

The third proportional to 45,275.63 and 98,330.06 is: 213,554.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,275.63 : 98,330.06 = 98,330.06 : x
  2. Step 2: Convert to fraction form
    45,275.63/98,330.06 = 98,330.06/x
  3. Step 3: Cross multiply
    45,275.63x = 98,330.06 × 98,330.06
  4. Step 4: Simplify right side
    45,275.63x = 9,668,801,191.25
  5. Step 5: Solve for x
    x = 9,668,801,191.25/45,275.63
  6. Step 6: Final answer
    x = 213,554.23

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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.