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Finding the Third Proportional to 84,891,402 and 181,895,220

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Solution

The third proportional to 84,891,402 and 181,895,220 is: 389,743,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891,402 : 181,895,220 = 181,895,220 : x
  2. Step 2: Convert to fraction form
    84,891,402/181,895,220 = 181,895,220/x
  3. Step 3: Cross multiply
    84,891,402x = 181,895,220 × 181,895,220
  4. Step 4: Simplify right side
    84,891,402x = 33,085,871,058,848,400
  5. Step 5: Solve for x
    x = 33,085,871,058,848,400/84,891,402
  6. Step 6: Final answer
    x = 389,743,487.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.