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Finding the Third Proportional to 45,210.75 and 98,457.75

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Solution

The third proportional to 45,210.75 and 98,457.75 is: 214,416.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,210.75 : 98,457.75 = 98,457.75 : x
  2. Step 2: Convert to fraction form
    45,210.75/98,457.75 = 98,457.75/x
  3. Step 3: Cross multiply
    45,210.75x = 98,457.75 × 98,457.75
  4. Step 4: Simplify right side
    45,210.75x = 9,693,928,535.06
  5. Step 5: Solve for x
    x = 9,693,928,535.06/45,210.75
  6. Step 6: Final answer
    x = 214,416.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.