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Finding the Third Proportional to 188,307,441 and 405,470,160

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Solution

The third proportional to 188,307,441 and 405,470,160 is: 873,072,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,307,441 : 405,470,160 = 405,470,160 : x
  2. Step 2: Convert to fraction form
    188,307,441/405,470,160 = 405,470,160/x
  3. Step 3: Cross multiply
    188,307,441x = 405,470,160 × 405,470,160
  4. Step 4: Simplify right side
    188,307,441x = 164,406,050,650,425,600
  5. Step 5: Solve for x
    x = 164,406,050,650,425,600/188,307,441
  6. Step 6: Final answer
    x = 873,072,512.57

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.