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Finding the Third Proportional to 188,240,508 and 407,740,140

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Solution

The third proportional to 188,240,508 and 407,740,140 is: 883,189,402.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,240,508 : 407,740,140 = 407,740,140 : x
  2. Step 2: Convert to fraction form
    188,240,508/407,740,140 = 407,740,140/x
  3. Step 3: Cross multiply
    188,240,508x = 407,740,140 × 407,740,140
  4. Step 4: Simplify right side
    188,240,508x = 166,252,021,767,219,584
  5. Step 5: Solve for x
    x = 166,252,021,767,219,584/188,240,508
  6. Step 6: Final answer
    x = 883,189,402.40

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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.