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Finding the Third Proportional to 98,710.50 and 217,095

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Solution

The third proportional to 98,710.50 and 217,095 is: 477,459.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,710.50 : 217,095 = 217,095 : x
  2. Step 2: Convert to fraction form
    98,710.50/217,095 = 217,095/x
  3. Step 3: Cross multiply
    98,710.50x = 217,095 × 217,095
  4. Step 4: Simplify right side
    98,710.50x = 47,130,239,025
  5. Step 5: Solve for x
    x = 47,130,239,025/98,710.50
  6. Step 6: Final answer
    x = 477,459.23

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.