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Finding the Third Proportional to 97,848.84 and 210,173.06

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Solution

The third proportional to 97,848.84 and 210,173.06 is: 451,438.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,848.84 : 210,173.06 = 210,173.06 : x
  2. Step 2: Convert to fraction form
    97,848.84/210,173.06 = 210,173.06/x
  3. Step 3: Cross multiply
    97,848.84x = 210,173.06 × 210,173.06
  4. Step 4: Simplify right side
    97,848.84x = 44,172,716,200.63
  5. Step 5: Solve for x
    x = 44,172,716,200.63/97,848.84
  6. Step 6: Final answer
    x = 451,438.31

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.