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Finding the Third Proportional to 46,652,912 and 103,660,539.50

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Solution

The third proportional to 46,652,912 and 103,660,539.50 is: 230,328,761.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,652,912 : 103,660,539.50 = 103,660,539.50 : x
  2. Step 2: Convert to fraction form
    46,652,912/103,660,539.50 = 103,660,539.50/x
  3. Step 3: Cross multiply
    46,652,912x = 103,660,539.50 × 103,660,539.50
  4. Step 4: Simplify right side
    46,652,912x = 10,745,507,449,431,060
  5. Step 5: Solve for x
    x = 10,745,507,449,431,060/46,652,912
  6. Step 6: Final answer
    x = 230,328,761.67

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.