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Finding the Third Proportional to 48,043,072 and 105,694,656

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Solution

The third proportional to 48,043,072 and 105,694,656 is: 232,528,017.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,043,072 : 105,694,656 = 105,694,656 : x
  2. Step 2: Convert to fraction form
    48,043,072/105,694,656 = 105,694,656/x
  3. Step 3: Cross multiply
    48,043,072x = 105,694,656 × 105,694,656
  4. Step 4: Simplify right side
    48,043,072x = 11,171,360,306,958,336
  5. Step 5: Solve for x
    x = 11,171,360,306,958,336/48,043,072
  6. Step 6: Final answer
    x = 232,528,017.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.