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Finding the Third Proportional to 82,111,237 and 114,796,342.50

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Solution

The third proportional to 82,111,237 and 114,796,342.50 is: 160,492,043.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,111,237 : 114,796,342.50 = 114,796,342.50 : x
  2. Step 2: Convert to fraction form
    82,111,237/114,796,342.50 = 114,796,342.50/x
  3. Step 3: Cross multiply
    82,111,237x = 114,796,342.50 × 114,796,342.50
  4. Step 4: Simplify right side
    82,111,237x = 13,178,200,251,377,306
  5. Step 5: Solve for x
    x = 13,178,200,251,377,306/82,111,237
  6. Step 6: Final answer
    x = 160,492,043.88

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.