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Finding the Third Proportional to 89,988.75 and 196,924.50

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Solution

The third proportional to 89,988.75 and 196,924.50 is: 430,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,988.75 : 196,924.50 = 196,924.50 : x
  2. Step 2: Convert to fraction form
    89,988.75/196,924.50 = 196,924.50/x
  3. Step 3: Cross multiply
    89,988.75x = 196,924.50 × 196,924.50
  4. Step 4: Simplify right side
    89,988.75x = 38,779,258,700.25
  5. Step 5: Solve for x
    x = 38,779,258,700.25/89,988.75
  6. Step 6: Final answer
    x = 430,934.52

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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.