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Finding the Third Proportional to 48,129,511.50 and 105,078,654

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Solution

The third proportional to 48,129,511.50 and 105,078,654 is: 229,412,748.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,129,511.50 : 105,078,654 = 105,078,654 : x
  2. Step 2: Convert to fraction form
    48,129,511.50/105,078,654 = 105,078,654/x
  3. Step 3: Cross multiply
    48,129,511.50x = 105,078,654 × 105,078,654
  4. Step 4: Simplify right side
    48,129,511.50x = 11,041,523,526,451,716
  5. Step 5: Solve for x
    x = 11,041,523,526,451,716/48,129,511.50
  6. Step 6: Final answer
    x = 229,412,748.69

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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.