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Finding the Third Proportional to 98,741 and 216,233.50

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Solution

The third proportional to 98,741 and 216,233.50 is: 473,531.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,741 : 216,233.50 = 216,233.50 : x
  2. Step 2: Convert to fraction form
    98,741/216,233.50 = 216,233.50/x
  3. Step 3: Cross multiply
    98,741x = 216,233.50 × 216,233.50
  4. Step 4: Simplify right side
    98,741x = 46,756,926,522.25
  5. Step 5: Solve for x
    x = 46,756,926,522.25/98,741
  6. Step 6: Final answer
    x = 473,531.02

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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.