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Finding the Third Proportional to 144,845.63 and 212,083.13

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Solution

The third proportional to 144,845.63 and 212,083.13 is: 310,532.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,845.63 : 212,083.13 = 212,083.13 : x
  2. Step 2: Convert to fraction form
    144,845.63/212,083.13 = 212,083.13/x
  3. Step 3: Cross multiply
    144,845.63x = 212,083.13 × 212,083.13
  4. Step 4: Simplify right side
    144,845.63x = 44,979,251,909.77
  5. Step 5: Solve for x
    x = 44,979,251,909.77/144,845.63
  6. Step 6: Final answer
    x = 310,532.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.