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Finding the Third Proportional to 91,038 and 199,572

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Solution

The third proportional to 91,038 and 199,572 is: 437,498.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,038 : 199,572 = 199,572 : x
  2. Step 2: Convert to fraction form
    91,038/199,572 = 199,572/x
  3. Step 3: Cross multiply
    91,038x = 199,572 × 199,572
  4. Step 4: Simplify right side
    91,038x = 39,828,983,184
  5. Step 5: Solve for x
    x = 39,828,983,184/91,038
  6. Step 6: Final answer
    x = 437,498.44

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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.