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Finding the Third Proportional to 109,788,790.50 and 230,899,774.50

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Solution

The third proportional to 109,788,790.50 and 230,899,774.50 is: 485,611,560.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,788,790.50 : 230,899,774.50 = 230,899,774.50 : x
  2. Step 2: Convert to fraction form
    109,788,790.50/230,899,774.50 = 230,899,774.50/x
  3. Step 3: Cross multiply
    109,788,790.50x = 230,899,774.50 × 230,899,774.50
  4. Step 4: Simplify right side
    109,788,790.50x = 53,314,705,864,150,848
  5. Step 5: Solve for x
    x = 53,314,705,864,150,848/109,788,790.50
  6. Step 6: Final answer
    x = 485,611,560.35

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.