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Finding the Third Proportional to 106,531.35 and 236,710.18

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Solution

The third proportional to 106,531.35 and 236,710.18 is: 525,964.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,531.35 : 236,710.18 = 236,710.18 : x
  2. Step 2: Convert to fraction form
    106,531.35/236,710.18 = 236,710.18/x
  3. Step 3: Cross multiply
    106,531.35x = 236,710.18 × 236,710.18
  4. Step 4: Simplify right side
    106,531.35x = 56,031,709,283.27
  5. Step 5: Solve for x
    x = 56,031,709,283.27/106,531.35
  6. Step 6: Final answer
    x = 525,964.49

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