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Finding the Third Proportional to 91,386.98 and 200,428.17

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Solution

The third proportional to 91,386.98 and 200,428.17 is: 439,575.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,386.98 : 200,428.17 = 200,428.17 : x
  2. Step 2: Convert to fraction form
    91,386.98/200,428.17 = 200,428.17/x
  3. Step 3: Cross multiply
    91,386.98x = 200,428.17 × 200,428.17
  4. Step 4: Simplify right side
    91,386.98x = 40,171,452,081.15
  5. Step 5: Solve for x
    x = 40,171,452,081.15/91,386.98
  6. Step 6: Final answer
    x = 439,575.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.