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Finding the Third Proportional to 99,513 and 208,246.50

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Solution

The third proportional to 99,513 and 208,246.50 is: 435,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,513 : 208,246.50 = 208,246.50 : x
  2. Step 2: Convert to fraction form
    99,513/208,246.50 = 208,246.50/x
  3. Step 3: Cross multiply
    99,513x = 208,246.50 × 208,246.50
  4. Step 4: Simplify right side
    99,513x = 43,366,604,762.25
  5. Step 5: Solve for x
    x = 43,366,604,762.25/99,513
  6. Step 6: Final answer
    x = 435,788.34

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.