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Finding the Third Proportional to 84,905,815.50 and 181,920,370.50

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Solution

The third proportional to 84,905,815.50 and 181,920,370.50 is: 389,785,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,815.50 : 181,920,370.50 = 181,920,370.50 : x
  2. Step 2: Convert to fraction form
    84,905,815.50/181,920,370.50 = 181,920,370.50/x
  3. Step 3: Cross multiply
    84,905,815.50x = 181,920,370.50 × 181,920,370.50
  4. Step 4: Simplify right side
    84,905,815.50x = 33,095,021,202,857,272
  5. Step 5: Solve for x
    x = 33,095,021,202,857,272/84,905,815.50
  6. Step 6: Final answer
    x = 389,785,093.14

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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.