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Finding the Third Proportional to 46,756.13 and 99,352.13

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Solution

The third proportional to 46,756.13 and 99,352.13 is: 211,113.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,756.13 : 99,352.13 = 99,352.13 : x
  2. Step 2: Convert to fraction form
    46,756.13/99,352.13 = 99,352.13/x
  3. Step 3: Cross multiply
    46,756.13x = 99,352.13 × 99,352.13
  4. Step 4: Simplify right side
    46,756.13x = 9,870,844,742.02
  5. Step 5: Solve for x
    x = 9,870,844,742.02/46,756.13
  6. Step 6: Final answer
    x = 211,113.40

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.