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Finding the Third Proportional to 97,786.13 and 235,495.13

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Solution

The third proportional to 97,786.13 and 235,495.13 is: 567,135.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,786.13 : 235,495.13 = 235,495.13 : x
  2. Step 2: Convert to fraction form
    97,786.13/235,495.13 = 235,495.13/x
  3. Step 3: Cross multiply
    97,786.13x = 235,495.13 × 235,495.13
  4. Step 4: Simplify right side
    97,786.13x = 55,457,953,898.77
  5. Step 5: Solve for x
    x = 55,457,953,898.77/97,786.13
  6. Step 6: Final answer
    x = 567,135.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.