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Finding the Third Proportional to 105,617 and 234,847.63

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Solution

The third proportional to 105,617 and 234,847.63 is: 522,201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,617 : 234,847.63 = 234,847.63 : x
  2. Step 2: Convert to fraction form
    105,617/234,847.63 = 234,847.63/x
  3. Step 3: Cross multiply
    105,617x = 234,847.63 × 234,847.63
  4. Step 4: Simplify right side
    105,617x = 55,153,406,968.14
  5. Step 5: Solve for x
    x = 55,153,406,968.14/105,617
  6. Step 6: Final answer
    x = 522,201.98

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.