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Finding the Third Proportional to 46,315.13 and 99,775.13

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Solution

The third proportional to 46,315.13 and 99,775.13 is: 214,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,315.13 : 99,775.13 = 99,775.13 : x
  2. Step 2: Convert to fraction form
    46,315.13/99,775.13 = 99,775.13/x
  3. Step 3: Cross multiply
    46,315.13x = 99,775.13 × 99,775.13
  4. Step 4: Simplify right side
    46,315.13x = 9,955,075,568.77
  5. Step 5: Solve for x
    x = 9,955,075,568.77/46,315.13
  6. Step 6: Final answer
    x = 214,942.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.