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Finding the Third Proportional to 98,707.50 and 216,621

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Solution

The third proportional to 98,707.50 and 216,621 is: 475,391.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,707.50 : 216,621 = 216,621 : x
  2. Step 2: Convert to fraction form
    98,707.50/216,621 = 216,621/x
  3. Step 3: Cross multiply
    98,707.50x = 216,621 × 216,621
  4. Step 4: Simplify right side
    98,707.50x = 46,924,657,641
  5. Step 5: Solve for x
    x = 46,924,657,641/98,707.50
  6. Step 6: Final answer
    x = 475,391.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.