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Finding the Third Proportional to 94,957 and 208,030

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Solution

The third proportional to 94,957 and 208,030 is: 455,748.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,957 : 208,030 = 208,030 : x
  2. Step 2: Convert to fraction form
    94,957/208,030 = 208,030/x
  3. Step 3: Cross multiply
    94,957x = 208,030 × 208,030
  4. Step 4: Simplify right side
    94,957x = 43,276,480,900
  5. Step 5: Solve for x
    x = 43,276,480,900/94,957
  6. Step 6: Final answer
    x = 455,748.19

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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.