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Finding the Third Proportional to 218,157,538.57 and 306,118,217.25

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Solution

The third proportional to 218,157,538.57 and 306,118,217.25 is: 429,544,463.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,157,538.57 : 306,118,217.25 = 306,118,217.25 : x
  2. Step 2: Convert to fraction form
    218,157,538.57/306,118,217.25 = 306,118,217.25/x
  3. Step 3: Cross multiply
    218,157,538.57x = 306,118,217.25 × 306,118,217.25
  4. Step 4: Simplify right side
    218,157,538.57x = 93,708,362,932,318,192
  5. Step 5: Solve for x
    x = 93,708,362,932,318,192/218,157,538.57
  6. Step 6: Final answer
    x = 429,544,463.81

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.