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Finding the Third Proportional to 48,955,026 and 106,557,420

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Solution

The third proportional to 48,955,026 and 106,557,420 is: 231,937,038.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,955,026 : 106,557,420 = 106,557,420 : x
  2. Step 2: Convert to fraction form
    48,955,026/106,557,420 = 106,557,420/x
  3. Step 3: Cross multiply
    48,955,026x = 106,557,420 × 106,557,420
  4. Step 4: Simplify right side
    48,955,026x = 11,354,483,757,056,400
  5. Step 5: Solve for x
    x = 11,354,483,757,056,400/48,955,026
  6. Step 6: Final answer
    x = 231,937,038.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.