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Finding the Third Proportional to 48,046,955 and 103,652,182

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Solution

The third proportional to 48,046,955 and 103,652,182 is: 223,609,900.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,046,955 : 103,652,182 = 103,652,182 : x
  2. Step 2: Convert to fraction form
    48,046,955/103,652,182 = 103,652,182/x
  3. Step 3: Cross multiply
    48,046,955x = 103,652,182 × 103,652,182
  4. Step 4: Simplify right side
    48,046,955x = 10,743,774,833,361,124
  5. Step 5: Solve for x
    x = 10,743,774,833,361,124/48,046,955
  6. Step 6: Final answer
    x = 223,609,900.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.