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Finding the Third Proportional to 109,064,679.75 and 238,652,194.50

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Solution

The third proportional to 109,064,679.75 and 238,652,194.50 is: 522,211,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,064,679.75 : 238,652,194.50 = 238,652,194.50 : x
  2. Step 2: Convert to fraction form
    109,064,679.75/238,652,194.50 = 238,652,194.50/x
  3. Step 3: Cross multiply
    109,064,679.75x = 238,652,194.50 × 238,652,194.50
  4. Step 4: Simplify right side
    109,064,679.75x = 56,954,869,939,665,832
  5. Step 5: Solve for x
    x = 56,954,869,939,665,832/109,064,679.75
  6. Step 6: Final answer
    x = 522,211,866.12

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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.