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Finding the Third Proportional to 187,358,886 and 405,994,774.50

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Solution

The third proportional to 187,358,886 and 405,994,774.50 is: 879,764,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,358,886 : 405,994,774.50 = 405,994,774.50 : x
  2. Step 2: Convert to fraction form
    187,358,886/405,994,774.50 = 405,994,774.50/x
  3. Step 3: Cross multiply
    187,358,886x = 405,994,774.50 × 405,994,774.50
  4. Step 4: Simplify right side
    187,358,886x = 164,831,756,921,305,856
  5. Step 5: Solve for x
    x = 164,831,756,921,305,856/187,358,886
  6. Step 6: Final answer
    x = 879,764,821.62

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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.