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Finding the Third Proportional to 163,044.63 and 214,402.88

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Solution

The third proportional to 163,044.63 and 214,402.88 is: 281,938.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,044.63 : 214,402.88 = 214,402.88 : x
  2. Step 2: Convert to fraction form
    163,044.63/214,402.88 = 214,402.88/x
  3. Step 3: Cross multiply
    163,044.63x = 214,402.88 × 214,402.88
  4. Step 4: Simplify right side
    163,044.63x = 45,968,592,808.27
  5. Step 5: Solve for x
    x = 45,968,592,808.27/163,044.63
  6. Step 6: Final answer
    x = 281,938.72

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.