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Finding the Third Proportional to 46,597 and 101,470

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Solution

The third proportional to 46,597 and 101,470 is: 220,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,597 : 101,470 = 101,470 : x
  2. Step 2: Convert to fraction form
    46,597/101,470 = 101,470/x
  3. Step 3: Cross multiply
    46,597x = 101,470 × 101,470
  4. Step 4: Simplify right side
    46,597x = 10,296,160,900
  5. Step 5: Solve for x
    x = 10,296,160,900/46,597
  6. Step 6: Final answer
    x = 220,961.88

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.