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Finding the Third Proportional to 45,289.13 and 98,358.05

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Solution

The third proportional to 45,289.13 and 98,358.05 is: 213,612.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,289.13 : 98,358.05 = 98,358.05 : x
  2. Step 2: Convert to fraction form
    45,289.13/98,358.05 = 98,358.05/x
  3. Step 3: Cross multiply
    45,289.13x = 98,358.05 × 98,358.05
  4. Step 4: Simplify right side
    45,289.13x = 9,674,305,385.06
  5. Step 5: Solve for x
    x = 9,674,305,385.06/45,289.13
  6. Step 6: Final answer
    x = 213,612.11

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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.