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Finding the Third Proportional to 80,095,842 and 120,357,030.38

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Solution

The third proportional to 80,095,842 and 120,357,030.38 is: 180,856,014.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,095,842 : 120,357,030.38 = 120,357,030.38 : x
  2. Step 2: Convert to fraction form
    80,095,842/120,357,030.38 = 120,357,030.38/x
  3. Step 3: Cross multiply
    80,095,842x = 120,357,030.38 × 120,357,030.38
  4. Step 4: Simplify right side
    80,095,842x = 14,485,814,760,688,672
  5. Step 5: Solve for x
    x = 14,485,814,760,688,672/80,095,842
  6. Step 6: Final answer
    x = 180,856,014.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.