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Finding the Third Proportional to 82,185,213 and 123,385,945.50

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Solution

The third proportional to 82,185,213 and 123,385,945.50 is: 185,241,249.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185,213 : 123,385,945.50 = 123,385,945.50 : x
  2. Step 2: Convert to fraction form
    82,185,213/123,385,945.50 = 123,385,945.50/x
  3. Step 3: Cross multiply
    82,185,213x = 123,385,945.50 × 123,385,945.50
  4. Step 4: Simplify right side
    82,185,213x = 15,224,091,546,928,970
  5. Step 5: Solve for x
    x = 15,224,091,546,928,970/82,185,213
  6. Step 6: Final answer
    x = 185,241,249.50

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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.