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Finding the Third Proportional to 99,489 and 208,590

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Solution

The third proportional to 99,489 and 208,590 is: 437,332.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,489 : 208,590 = 208,590 : x
  2. Step 2: Convert to fraction form
    99,489/208,590 = 208,590/x
  3. Step 3: Cross multiply
    99,489x = 208,590 × 208,590
  4. Step 4: Simplify right side
    99,489x = 43,509,788,100
  5. Step 5: Solve for x
    x = 43,509,788,100/99,489
  6. Step 6: Final answer
    x = 437,332.65

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.