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Finding the Third Proportional to 98,374.50 and 210,424.50

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Solution

The third proportional to 98,374.50 and 210,424.50 is: 450,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,374.50 : 210,424.50 = 210,424.50 : x
  2. Step 2: Convert to fraction form
    98,374.50/210,424.50 = 210,424.50/x
  3. Step 3: Cross multiply
    98,374.50x = 210,424.50 × 210,424.50
  4. Step 4: Simplify right side
    98,374.50x = 44,278,470,200.25
  5. Step 5: Solve for x
    x = 44,278,470,200.25/98,374.50
  6. Step 6: Final answer
    x = 450,101.10

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.