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Finding the Third Proportional to 47,643.19 and 107,740.13

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Solution

The third proportional to 47,643.19 and 107,740.13 is: 243,643.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,643.19 : 107,740.13 = 107,740.13 : x
  2. Step 2: Convert to fraction form
    47,643.19/107,740.13 = 107,740.13/x
  3. Step 3: Cross multiply
    47,643.19x = 107,740.13 × 107,740.13
  4. Step 4: Simplify right side
    47,643.19x = 11,607,934,535.02
  5. Step 5: Solve for x
    x = 11,607,934,535.02/47,643.19
  6. Step 6: Final answer
    x = 243,643.11

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.