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Finding the Third Proportional to 76,578,000.75 and 163,920,145.50

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Solution

The third proportional to 76,578,000.75 and 163,920,145.50 is: 350,881,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,578,000.75 : 163,920,145.50 = 163,920,145.50 : x
  2. Step 2: Convert to fraction form
    76,578,000.75/163,920,145.50 = 163,920,145.50/x
  3. Step 3: Cross multiply
    76,578,000.75x = 163,920,145.50 × 163,920,145.50
  4. Step 4: Simplify right side
    76,578,000.75x = 26,869,814,100,741,172
  5. Step 5: Solve for x
    x = 26,869,814,100,741,172/76,578,000.75
  6. Step 6: Final answer
    x = 350,881,634.90

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.