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Finding the Third Proportional to 185,080,508.50 and 402,021,233.25

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Solution

The third proportional to 185,080,508.50 and 402,021,233.25 is: 873,247,395.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,080,508.50 : 402,021,233.25 = 402,021,233.25 : x
  2. Step 2: Convert to fraction form
    185,080,508.50/402,021,233.25 = 402,021,233.25/x
  3. Step 3: Cross multiply
    185,080,508.50x = 402,021,233.25 × 402,021,233.25
  4. Step 4: Simplify right side
    185,080,508.50x = 161,621,071,983,850,912
  5. Step 5: Solve for x
    x = 161,621,071,983,850,912/185,080,508.50
  6. Step 6: Final answer
    x = 873,247,395.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.