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Finding the Third Proportional to 184,560,688.50 and 400,807,791

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Solution

The third proportional to 184,560,688.50 and 400,807,791 is: 870,428,511.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,560,688.50 : 400,807,791 = 400,807,791 : x
  2. Step 2: Convert to fraction form
    184,560,688.50/400,807,791 = 400,807,791/x
  3. Step 3: Cross multiply
    184,560,688.50x = 400,807,791 × 400,807,791
  4. Step 4: Simplify right side
    184,560,688.50x = 160,646,885,326,299,680
  5. Step 5: Solve for x
    x = 160,646,885,326,299,680/184,560,688.50
  6. Step 6: Final answer
    x = 870,428,511.25

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Why These Related Problems?

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