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Finding the Third Proportional to 98,284.50 and 147,271.50

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Solution

The third proportional to 98,284.50 and 147,271.50 is: 220,674.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,284.50 : 147,271.50 = 147,271.50 : x
  2. Step 2: Convert to fraction form
    98,284.50/147,271.50 = 147,271.50/x
  3. Step 3: Cross multiply
    98,284.50x = 147,271.50 × 147,271.50
  4. Step 4: Simplify right side
    98,284.50x = 21,688,894,712.25
  5. Step 5: Solve for x
    x = 21,688,894,712.25/98,284.50
  6. Step 6: Final answer
    x = 220,674.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.