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Finding the Third Proportional to 97,300.14 and 209,151.10

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Solution

The third proportional to 97,300.14 and 209,151.10 is: 449,579.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,300.14 : 209,151.10 = 209,151.10 : x
  2. Step 2: Convert to fraction form
    97,300.14/209,151.10 = 209,151.10/x
  3. Step 3: Cross multiply
    97,300.14x = 209,151.10 × 209,151.10
  4. Step 4: Simplify right side
    97,300.14x = 43,744,181,242.31
  5. Step 5: Solve for x
    x = 43,744,181,242.31/97,300.14
  6. Step 6: Final answer
    x = 449,579.83

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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.