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Finding the Third Proportional to 98,220.38 and 214,430.63

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Solution

The third proportional to 98,220.38 and 214,430.63 is: 468,135.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,220.38 : 214,430.63 = 214,430.63 : x
  2. Step 2: Convert to fraction form
    98,220.38/214,430.63 = 214,430.63/x
  3. Step 3: Cross multiply
    98,220.38x = 214,430.63 × 214,430.63
  4. Step 4: Simplify right side
    98,220.38x = 45,980,492,937.89
  5. Step 5: Solve for x
    x = 45,980,492,937.89/98,220.38
  6. Step 6: Final answer
    x = 468,135.99

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