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Finding the Third Proportional to 85,210,983 and 184,042,188

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Solution

The third proportional to 85,210,983 and 184,042,188 is: 397,501,892.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,210,983 : 184,042,188 = 184,042,188 : x
  2. Step 2: Convert to fraction form
    85,210,983/184,042,188 = 184,042,188/x
  3. Step 3: Cross multiply
    85,210,983x = 184,042,188 × 184,042,188
  4. Step 4: Simplify right side
    85,210,983x = 33,871,526,963,827,344
  5. Step 5: Solve for x
    x = 33,871,526,963,827,344/85,210,983
  6. Step 6: Final answer
    x = 397,501,892.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.