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Finding the Third Proportional to 84,905,842 and 181,920,429

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Solution

The third proportional to 84,905,842 and 181,920,429 is: 389,785,222.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,842 : 181,920,429 = 181,920,429 : x
  2. Step 2: Convert to fraction form
    84,905,842/181,920,429 = 181,920,429/x
  3. Step 3: Cross multiply
    84,905,842x = 181,920,429 × 181,920,429
  4. Step 4: Simplify right side
    84,905,842x = 33,095,042,487,544,040
  5. Step 5: Solve for x
    x = 33,095,042,487,544,040/84,905,842
  6. Step 6: Final answer
    x = 389,785,222.17

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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.