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Finding the Third Proportional to 48,910,152 and 103,646,544

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Solution

The third proportional to 48,910,152 and 103,646,544 is: 219,639,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,910,152 : 103,646,544 = 103,646,544 : x
  2. Step 2: Convert to fraction form
    48,910,152/103,646,544 = 103,646,544/x
  3. Step 3: Cross multiply
    48,910,152x = 103,646,544 × 103,646,544
  4. Step 4: Simplify right side
    48,910,152x = 10,742,606,083,143,936
  5. Step 5: Solve for x
    x = 10,742,606,083,143,936/48,910,152
  6. Step 6: Final answer
    x = 219,639,597.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.