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Finding the Third Proportional to 89,259,856.50 and 137,929,234.50

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Solution

The third proportional to 89,259,856.50 and 137,929,234.50 is: 213,135,831.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,259,856.50 : 137,929,234.50 = 137,929,234.50 : x
  2. Step 2: Convert to fraction form
    89,259,856.50/137,929,234.50 = 137,929,234.50/x
  3. Step 3: Cross multiply
    89,259,856.50x = 137,929,234.50 × 137,929,234.50
  4. Step 4: Simplify right side
    89,259,856.50x = 19,024,473,729,755,992
  5. Step 5: Solve for x
    x = 19,024,473,729,755,992/89,259,856.50
  6. Step 6: Final answer
    x = 213,135,831.44

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.