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Finding the Third Proportional to 202,214,773.50 and 435,577,894.50

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Solution

The third proportional to 202,214,773.50 and 435,577,894.50 is: 938,250,449.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,214,773.50 : 435,577,894.50 = 435,577,894.50 : x
  2. Step 2: Convert to fraction form
    202,214,773.50/435,577,894.50 = 435,577,894.50/x
  3. Step 3: Cross multiply
    202,214,773.50x = 435,577,894.50 × 435,577,894.50
  4. Step 4: Simplify right side
    202,214,773.50x = 189,728,102,177,053,120
  5. Step 5: Solve for x
    x = 189,728,102,177,053,120/202,214,773.50
  6. Step 6: Final answer
    x = 938,250,449.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.