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Finding the Third Proportional to 98,310 and 147,950.25

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Solution

The third proportional to 98,310 and 147,950.25 is: 222,655.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,310 : 147,950.25 = 147,950.25 : x
  2. Step 2: Convert to fraction form
    98,310/147,950.25 = 147,950.25/x
  3. Step 3: Cross multiply
    98,310x = 147,950.25 × 147,950.25
  4. Step 4: Simplify right side
    98,310x = 21,889,276,475.06
  5. Step 5: Solve for x
    x = 21,889,276,475.06/98,310
  6. Step 6: Final answer
    x = 222,655.65

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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.