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Finding the Third Proportional to 152,866,543,100.42 and 332,571,888,394.75

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Solution

The third proportional to 152,866,543,100.42 and 332,571,888,394.75 is: 723,533,473,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,866,543,100.42 : 332,571,888,394.75 = 332,571,888,394.75 : x
  2. Step 2: Convert to fraction form
    152,866,543,100.42/332,571,888,394.75 = 332,571,888,394.75/x
  3. Step 3: Cross multiply
    152,866,543,100.42x = 332,571,888,394.75 × 332,571,888,394.75
  4. Step 4: Simplify right side
    152,866,543,100.42x = 110,604,060,950,450,053,054,464
  5. Step 5: Solve for x
    x = 110,604,060,950,450,053,054,464/152,866,543,100.42
  6. Step 6: Final answer
    x = 723,533,473,755.55

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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.