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Finding the Third Proportional to 48,473,130 and 106,067,508

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Solution

The third proportional to 48,473,130 and 106,067,508 is: 232,093,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473,130 : 106,067,508 = 106,067,508 : x
  2. Step 2: Convert to fraction form
    48,473,130/106,067,508 = 106,067,508/x
  3. Step 3: Cross multiply
    48,473,130x = 106,067,508 × 106,067,508
  4. Step 4: Simplify right side
    48,473,130x = 11,250,316,253,330,064
  5. Step 5: Solve for x
    x = 11,250,316,253,330,064/48,473,130
  6. Step 6: Final answer
    x = 232,093,868.36

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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.