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Finding the Third Proportional to 46,018.13 and 90,897.19

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Solution

The third proportional to 46,018.13 and 90,897.19 is: 179,544.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018.13 : 90,897.19 = 90,897.19 : x
  2. Step 2: Convert to fraction form
    46,018.13/90,897.19 = 90,897.19/x
  3. Step 3: Cross multiply
    46,018.13x = 90,897.19 × 90,897.19
  4. Step 4: Simplify right side
    46,018.13x = 8,262,298,695.41
  5. Step 5: Solve for x
    x = 8,262,298,695.41/46,018.13
  6. Step 6: Final answer
    x = 179,544.44

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Why These Related Problems?

These problems maintain the same ratio (1.98) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.