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Finding the Third Proportional to 96,001 and 224,280.50

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Solution

The third proportional to 96,001 and 224,280.50 is: 523,971.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,001 : 224,280.50 = 224,280.50 : x
  2. Step 2: Convert to fraction form
    96,001/224,280.50 = 224,280.50/x
  3. Step 3: Cross multiply
    96,001x = 224,280.50 × 224,280.50
  4. Step 4: Simplify right side
    96,001x = 50,301,742,680.25
  5. Step 5: Solve for x
    x = 50,301,742,680.25/96,001
  6. Step 6: Final answer
    x = 523,971.03

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.