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Finding the Third Proportional to 97,477.50 and 209,460

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Solution

The third proportional to 97,477.50 and 209,460 is: 450,088.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,477.50 : 209,460 = 209,460 : x
  2. Step 2: Convert to fraction form
    97,477.50/209,460 = 209,460/x
  3. Step 3: Cross multiply
    97,477.50x = 209,460 × 209,460
  4. Step 4: Simplify right side
    97,477.50x = 43,873,491,600
  5. Step 5: Solve for x
    x = 43,873,491,600/97,477.50
  6. Step 6: Final answer
    x = 450,088.40

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.