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Finding the Third Proportional to 416,155,900.50 and 905,572,235.25

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Solution

The third proportional to 416,155,900.50 and 905,572,235.25 is: 1,970,562,167.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,155,900.50 : 905,572,235.25 = 905,572,235.25 : x
  2. Step 2: Convert to fraction form
    416,155,900.50/905,572,235.25 = 905,572,235.25/x
  3. Step 3: Cross multiply
    416,155,900.50x = 905,572,235.25 × 905,572,235.25
  4. Step 4: Simplify right side
    416,155,900.50x = 820,061,073,255,681,280
  5. Step 5: Solve for x
    x = 820,061,073,255,681,280/416,155,900.50
  6. Step 6: Final answer
    x = 1,970,562,167.38

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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.