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Finding the Third Proportional to 82,185,210 and 123,385,941

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Solution

The third proportional to 82,185,210 and 123,385,941 is: 185,241,242.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,185,210 : 123,385,941 = 123,385,941 : x
  2. Step 2: Convert to fraction form
    82,185,210/123,385,941 = 123,385,941/x
  3. Step 3: Cross multiply
    82,185,210x = 123,385,941 × 123,385,941
  4. Step 4: Simplify right side
    82,185,210x = 15,224,090,436,455,480
  5. Step 5: Solve for x
    x = 15,224,090,436,455,480/82,185,210
  6. Step 6: Final answer
    x = 185,241,242.75

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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.