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Finding the Third Proportional to 88,416 and 193,324.50

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Solution

The third proportional to 88,416 and 193,324.50 is: 422,710.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,416 : 193,324.50 = 193,324.50 : x
  2. Step 2: Convert to fraction form
    88,416/193,324.50 = 193,324.50/x
  3. Step 3: Cross multiply
    88,416x = 193,324.50 × 193,324.50
  4. Step 4: Simplify right side
    88,416x = 37,374,362,300.25
  5. Step 5: Solve for x
    x = 37,374,362,300.25/88,416
  6. Step 6: Final answer
    x = 422,710.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.