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Finding the Third Proportional to 105,890.63 and 232,517.25

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Solution

The third proportional to 105,890.63 and 232,517.25 is: 510,567.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,890.63 : 232,517.25 = 232,517.25 : x
  2. Step 2: Convert to fraction form
    105,890.63/232,517.25 = 232,517.25/x
  3. Step 3: Cross multiply
    105,890.63x = 232,517.25 × 232,517.25
  4. Step 4: Simplify right side
    105,890.63x = 54,064,271,547.56
  5. Step 5: Solve for x
    x = 54,064,271,547.56/105,890.63
  6. Step 6: Final answer
    x = 510,567.12

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.