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Finding the Third Proportional to 124,196,171,570.25 and 270,152,797,586.25

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Solution

The third proportional to 124,196,171,570.25 and 270,152,797,586.25 is: 587,639,160,860.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,196,171,570.25 : 270,152,797,586.25 = 270,152,797,586.25 : x
  2. Step 2: Convert to fraction form
    124,196,171,570.25/270,152,797,586.25 = 270,152,797,586.25/x
  3. Step 3: Cross multiply
    124,196,171,570.25x = 270,152,797,586.25 × 270,152,797,586.25
  4. Step 4: Simplify right side
    124,196,171,570.25x = 72,982,534,043,677,365,370,880
  5. Step 5: Solve for x
    x = 72,982,534,043,677,365,370,880/124,196,171,570.25
  6. Step 6: Final answer
    x = 587,639,160,860.89

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.