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Finding the Third Proportional to 77,905.47 and 168,266.58

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Solution

The third proportional to 77,905.47 and 168,266.58 is: 363,435.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,905.47 : 168,266.58 = 168,266.58 : x
  2. Step 2: Convert to fraction form
    77,905.47/168,266.58 = 168,266.58/x
  3. Step 3: Cross multiply
    77,905.47x = 168,266.58 × 168,266.58
  4. Step 4: Simplify right side
    77,905.47x = 28,313,643,285.77
  5. Step 5: Solve for x
    x = 28,313,643,285.77/77,905.47
  6. Step 6: Final answer
    x = 363,435.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.