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Finding the Third Proportional to 177,974,424 and 389,881,246.50

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Solution

The third proportional to 177,974,424 and 389,881,246.50 is: 854,096,801.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,974,424 : 389,881,246.50 = 389,881,246.50 : x
  2. Step 2: Convert to fraction form
    177,974,424/389,881,246.50 = 389,881,246.50/x
  3. Step 3: Cross multiply
    177,974,424x = 389,881,246.50 × 389,881,246.50
  4. Step 4: Simplify right side
    177,974,424x = 152,007,386,372,393,760
  5. Step 5: Solve for x
    x = 152,007,386,372,393,760/177,974,424
  6. Step 6: Final answer
    x = 854,096,801.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.