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Finding the Third Proportional to 82,987,949 and 123,809,299

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Solution

The third proportional to 82,987,949 and 123,809,299 is: 184,710,463.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,987,949 : 123,809,299 = 123,809,299 : x
  2. Step 2: Convert to fraction form
    82,987,949/123,809,299 = 123,809,299/x
  3. Step 3: Cross multiply
    82,987,949x = 123,809,299 × 123,809,299
  4. Step 4: Simplify right side
    82,987,949x = 15,328,742,518,871,400
  5. Step 5: Solve for x
    x = 15,328,742,518,871,400/82,987,949
  6. Step 6: Final answer
    x = 184,710,463.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.