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Finding the Third Proportional to 98,271.56 and 148,217.34

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Solution

The third proportional to 98,271.56 and 148,217.34 is: 223,547.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,271.56 : 148,217.34 = 148,217.34 : x
  2. Step 2: Convert to fraction form
    98,271.56/148,217.34 = 148,217.34/x
  3. Step 3: Cross multiply
    98,271.56x = 148,217.34 × 148,217.34
  4. Step 4: Simplify right side
    98,271.56x = 21,968,380,988.31
  5. Step 5: Solve for x
    x = 21,968,380,988.31/98,271.56
  6. Step 6: Final answer
    x = 223,547.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.