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Finding the Third Proportional to 108,446.63 and 162,031.50

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Solution

The third proportional to 108,446.63 and 162,031.50 is: 242,093.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,446.63 : 162,031.50 = 162,031.50 : x
  2. Step 2: Convert to fraction form
    108,446.63/162,031.50 = 162,031.50/x
  3. Step 3: Cross multiply
    108,446.63x = 162,031.50 × 162,031.50
  4. Step 4: Simplify right side
    108,446.63x = 26,254,206,992.25
  5. Step 5: Solve for x
    x = 26,254,206,992.25/108,446.63
  6. Step 6: Final answer
    x = 242,093.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.