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Finding the Third Proportional to 48,017,948 and 105,368,712

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Solution

The third proportional to 48,017,948 and 105,368,712 is: 231,216,991.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,017,948 : 105,368,712 = 105,368,712 : x
  2. Step 2: Convert to fraction form
    48,017,948/105,368,712 = 105,368,712/x
  3. Step 3: Cross multiply
    48,017,948x = 105,368,712 × 105,368,712
  4. Step 4: Simplify right side
    48,017,948x = 11,102,565,468,538,944
  5. Step 5: Solve for x
    x = 11,102,565,468,538,944/48,017,948
  6. Step 6: Final answer
    x = 231,216,991.37

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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.