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Finding the Third Proportional to 148,925,117.11 and 324,665,134.03

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Solution

The third proportional to 148,925,117.11 and 324,665,134.03 is: 707,788,258.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,925,117.11 : 324,665,134.03 = 324,665,134.03 : x
  2. Step 2: Convert to fraction form
    148,925,117.11/324,665,134.03 = 324,665,134.03/x
  3. Step 3: Cross multiply
    148,925,117.11x = 324,665,134.03 × 324,665,134.03
  4. Step 4: Simplify right side
    148,925,117.11x = 105,407,449,255,529,520
  5. Step 5: Solve for x
    x = 105,407,449,255,529,520/148,925,117.11
  6. Step 6: Final answer
    x = 707,788,258.30

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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.