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Finding the Third Proportional to 97,427.81 and 212,488.31

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Solution

The third proportional to 97,427.81 and 212,488.31 is: 463,433.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,427.81 : 212,488.31 = 212,488.31 : x
  2. Step 2: Convert to fraction form
    97,427.81/212,488.31 = 212,488.31/x
  3. Step 3: Cross multiply
    97,427.81x = 212,488.31 × 212,488.31
  4. Step 4: Simplify right side
    97,427.81x = 45,151,282,949.10
  5. Step 5: Solve for x
    x = 45,151,282,949.10/97,427.81
  6. Step 6: Final answer
    x = 463,433.20

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.