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Finding the Third Proportional to 46,703.46 and 96,730.14

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Solution

The third proportional to 46,703.46 and 96,730.14 is: 200,343.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,703.46 : 96,730.14 = 96,730.14 : x
  2. Step 2: Convert to fraction form
    46,703.46/96,730.14 = 96,730.14/x
  3. Step 3: Cross multiply
    46,703.46x = 96,730.14 × 96,730.14
  4. Step 4: Simplify right side
    46,703.46x = 9,356,719,349.63
  5. Step 5: Solve for x
    x = 9,356,719,349.63/46,703.46
  6. Step 6: Final answer
    x = 200,343.17

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.