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Finding the Third Proportional to 68,894,694.50 and 102,050,573.50

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Solution

The third proportional to 68,894,694.50 and 102,050,573.50 is: 151,162,867.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,894,694.50 : 102,050,573.50 = 102,050,573.50 : x
  2. Step 2: Convert to fraction form
    68,894,694.50/102,050,573.50 = 102,050,573.50/x
  3. Step 3: Cross multiply
    68,894,694.50x = 102,050,573.50 × 102,050,573.50
  4. Step 4: Simplify right side
    68,894,694.50x = 10,414,319,551,678,902
  5. Step 5: Solve for x
    x = 10,414,319,551,678,902/68,894,694.50
  6. Step 6: Final answer
    x = 151,162,867.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.