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Finding the Third Proportional to 91,776 and 201,628.50

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Solution

The third proportional to 91,776 and 201,628.50 is: 442,970.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,776 : 201,628.50 = 201,628.50 : x
  2. Step 2: Convert to fraction form
    91,776/201,628.50 = 201,628.50/x
  3. Step 3: Cross multiply
    91,776x = 201,628.50 × 201,628.50
  4. Step 4: Simplify right side
    91,776x = 40,654,052,012.25
  5. Step 5: Solve for x
    x = 40,654,052,012.25/91,776
  6. Step 6: Final answer
    x = 442,970.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.