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Finding the Third Proportional to 45,117 and 91,329.19

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Solution

The third proportional to 45,117 and 91,329.19 is: 184,875.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,117 : 91,329.19 = 91,329.19 : x
  2. Step 2: Convert to fraction form
    45,117/91,329.19 = 91,329.19/x
  3. Step 3: Cross multiply
    45,117x = 91,329.19 × 91,329.19
  4. Step 4: Simplify right side
    45,117x = 8,341,020,489.41
  5. Step 5: Solve for x
    x = 8,341,020,489.41/45,117
  6. Step 6: Final answer
    x = 184,875.34

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.