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Finding the Third Proportional to 48,473,120 and 106,067,488

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Solution

The third proportional to 48,473,120 and 106,067,488 is: 232,093,828.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,473,120 : 106,067,488 = 106,067,488 : x
  2. Step 2: Convert to fraction form
    48,473,120/106,067,488 = 106,067,488/x
  3. Step 3: Cross multiply
    48,473,120x = 106,067,488 × 106,067,488
  4. Step 4: Simplify right side
    48,473,120x = 11,250,312,010,630,144
  5. Step 5: Solve for x
    x = 11,250,312,010,630,144/48,473,120
  6. Step 6: Final answer
    x = 232,093,828.72

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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.