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Finding the Third Proportional to 91,897.50 and 207,489

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Solution

The third proportional to 91,897.50 and 207,489 is: 468,475.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,897.50 : 207,489 = 207,489 : x
  2. Step 2: Convert to fraction form
    91,897.50/207,489 = 207,489/x
  3. Step 3: Cross multiply
    91,897.50x = 207,489 × 207,489
  4. Step 4: Simplify right side
    91,897.50x = 43,051,685,121
  5. Step 5: Solve for x
    x = 43,051,685,121/91,897.50
  6. Step 6: Final answer
    x = 468,475.04

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.