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Finding the Third Proportional to 48,864.09 and 107,078.63

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Solution

The third proportional to 48,864.09 and 107,078.63 is: 234,647.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,864.09 : 107,078.63 = 107,078.63 : x
  2. Step 2: Convert to fraction form
    48,864.09/107,078.63 = 107,078.63/x
  3. Step 3: Cross multiply
    48,864.09x = 107,078.63 × 107,078.63
  4. Step 4: Simplify right side
    48,864.09x = 11,465,831,931.89
  5. Step 5: Solve for x
    x = 11,465,831,931.89/48,864.09
  6. Step 6: Final answer
    x = 234,647.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.