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Finding the Third Proportional to 84,891,470 and 181,885,780

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Solution

The third proportional to 84,891,470 and 181,885,780 is: 389,702,722.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,891,470 : 181,885,780 = 181,885,780 : x
  2. Step 2: Convert to fraction form
    84,891,470/181,885,780 = 181,885,780/x
  3. Step 3: Cross multiply
    84,891,470x = 181,885,780 × 181,885,780
  4. Step 4: Simplify right side
    84,891,470x = 33,082,436,966,208,400
  5. Step 5: Solve for x
    x = 33,082,436,966,208,400/84,891,470
  6. Step 6: Final answer
    x = 389,702,722.38

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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.