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Finding the Third Proportional to 186,430,737.38 and 280,424,458.69

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Solution

The third proportional to 186,430,737.38 and 280,424,458.69 is: 421,807,466.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,430,737.38 : 280,424,458.69 = 280,424,458.69 : x
  2. Step 2: Convert to fraction form
    186,430,737.38/280,424,458.69 = 280,424,458.69/x
  3. Step 3: Cross multiply
    186,430,737.38x = 280,424,458.69 × 280,424,458.69
  4. Step 4: Simplify right side
    186,430,737.38x = 78,637,877,030,177,392
  5. Step 5: Solve for x
    x = 78,637,877,030,177,392/186,430,737.38
  6. Step 6: Final answer
    x = 421,807,466.61

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.