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Finding the Third Proportional to 99,271.50 and 214,095

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Solution

The third proportional to 99,271.50 and 214,095 is: 461,730.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,271.50 : 214,095 = 214,095 : x
  2. Step 2: Convert to fraction form
    99,271.50/214,095 = 214,095/x
  3. Step 3: Cross multiply
    99,271.50x = 214,095 × 214,095
  4. Step 4: Simplify right side
    99,271.50x = 45,836,669,025
  5. Step 5: Solve for x
    x = 45,836,669,025/99,271.50
  6. Step 6: Final answer
    x = 461,730.40

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