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Finding the Third Proportional to 98,455.50 and 216,594

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Solution

The third proportional to 98,455.50 and 216,594 is: 476,488.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,455.50 : 216,594 = 216,594 : x
  2. Step 2: Convert to fraction form
    98,455.50/216,594 = 216,594/x
  3. Step 3: Cross multiply
    98,455.50x = 216,594 × 216,594
  4. Step 4: Simplify right side
    98,455.50x = 46,912,960,836
  5. Step 5: Solve for x
    x = 46,912,960,836/98,455.50
  6. Step 6: Final answer
    x = 476,488.98

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