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Finding the Third Proportional to 48,012,216 and 105,131,424

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Solution

The third proportional to 48,012,216 and 105,131,424 is: 230,204,252.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,012,216 : 105,131,424 = 105,131,424 : x
  2. Step 2: Convert to fraction form
    48,012,216/105,131,424 = 105,131,424/x
  3. Step 3: Cross multiply
    48,012,216x = 105,131,424 × 105,131,424
  4. Step 4: Simplify right side
    48,012,216x = 11,052,616,312,267,776
  5. Step 5: Solve for x
    x = 11,052,616,312,267,776/48,012,216
  6. Step 6: Final answer
    x = 230,204,252.86

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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.