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Finding the Third Proportional to 102,166.88 and 245,445.75

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Solution

The third proportional to 102,166.88 and 245,445.75 is: 589,658.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,166.88 : 245,445.75 = 245,445.75 : x
  2. Step 2: Convert to fraction form
    102,166.88/245,445.75 = 245,445.75/x
  3. Step 3: Cross multiply
    102,166.88x = 245,445.75 × 245,445.75
  4. Step 4: Simplify right side
    102,166.88x = 60,243,616,193.06
  5. Step 5: Solve for x
    x = 60,243,616,193.06/102,166.88
  6. Step 6: Final answer
    x = 589,658.99

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These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.