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Finding the Third Proportional to 286,690,190 and 442,709,212

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Solution

The third proportional to 286,690,190 and 442,709,212 is: 683,634,994.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,690,190 : 442,709,212 = 442,709,212 : x
  2. Step 2: Convert to fraction form
    286,690,190/442,709,212 = 442,709,212/x
  3. Step 3: Cross multiply
    286,690,190x = 442,709,212 × 442,709,212
  4. Step 4: Simplify right side
    286,690,190x = 195,991,446,389,660,928
  5. Step 5: Solve for x
    x = 195,991,446,389,660,928/286,690,190
  6. Step 6: Final answer
    x = 683,634,994.24

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.