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Finding the Third Proportional to 46,018.13 and 98,475.75

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Solution

The third proportional to 46,018.13 and 98,475.75 is: 210,731.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,018.13 : 98,475.75 = 98,475.75 : x
  2. Step 2: Convert to fraction form
    46,018.13/98,475.75 = 98,475.75/x
  3. Step 3: Cross multiply
    46,018.13x = 98,475.75 × 98,475.75
  4. Step 4: Simplify right side
    46,018.13x = 9,697,473,338.06
  5. Step 5: Solve for x
    x = 9,697,473,338.06/46,018.13
  6. Step 6: Final answer
    x = 210,731.60

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.