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Finding the Third Proportional to 109,670.63 and 165,315.94

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Solution

The third proportional to 109,670.63 and 165,315.94 is: 249,194.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,670.63 : 165,315.94 = 165,315.94 : x
  2. Step 2: Convert to fraction form
    109,670.63/165,315.94 = 165,315.94/x
  3. Step 3: Cross multiply
    109,670.63x = 165,315.94 × 165,315.94
  4. Step 4: Simplify right side
    109,670.63x = 27,329,359,191.50
  5. Step 5: Solve for x
    x = 27,329,359,191.50/109,670.63
  6. Step 6: Final answer
    x = 249,194.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.