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Finding the Third Proportional to 98,316 and 209,500.88

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Solution

The third proportional to 98,316 and 209,500.88 is: 446,423.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,316 : 209,500.88 = 209,500.88 : x
  2. Step 2: Convert to fraction form
    98,316/209,500.88 = 209,500.88/x
  3. Step 3: Cross multiply
    98,316x = 209,500.88 × 209,500.88
  4. Step 4: Simplify right side
    98,316x = 43,890,616,625.77
  5. Step 5: Solve for x
    x = 43,890,616,625.77/98,316
  6. Step 6: Final answer
    x = 446,423.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.