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Finding the Third Proportional to 97,391 and 209,783.50

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Solution

The third proportional to 97,391 and 209,783.50 is: 451,880.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,391 : 209,783.50 = 209,783.50 : x
  2. Step 2: Convert to fraction form
    97,391/209,783.50 = 209,783.50/x
  3. Step 3: Cross multiply
    97,391x = 209,783.50 × 209,783.50
  4. Step 4: Simplify right side
    97,391x = 44,009,116,872.25
  5. Step 5: Solve for x
    x = 44,009,116,872.25/97,391
  6. Step 6: Final answer
    x = 451,880.74

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Why These Related Problems?

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