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Finding the Third Proportional to 137,746.41 and 208,699.03

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Solution

The third proportional to 137,746.41 and 208,699.03 is: 316,199.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,746.41 : 208,699.03 = 208,699.03 : x
  2. Step 2: Convert to fraction form
    137,746.41/208,699.03 = 208,699.03/x
  3. Step 3: Cross multiply
    137,746.41x = 208,699.03 × 208,699.03
  4. Step 4: Simplify right side
    137,746.41x = 43,555,285,644.69
  5. Step 5: Solve for x
    x = 43,555,285,644.69/137,746.41
  6. Step 6: Final answer
    x = 316,199.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.