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Finding the Third Proportional to 76,688.44 and 164,038.50

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Solution

The third proportional to 76,688.44 and 164,038.50 is: 350,882.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.44 : 164,038.50 = 164,038.50 : x
  2. Step 2: Convert to fraction form
    76,688.44/164,038.50 = 164,038.50/x
  3. Step 3: Cross multiply
    76,688.44x = 164,038.50 × 164,038.50
  4. Step 4: Simplify right side
    76,688.44x = 26,908,629,482.25
  5. Step 5: Solve for x
    x = 26,908,629,482.25/76,688.44
  6. Step 6: Final answer
    x = 350,882.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.