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Finding the Third Proportional to 83,047,551.75 and 181,735,093.13

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Solution

The third proportional to 83,047,551.75 and 181,735,093.13 is: 397,695,577.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,047,551.75 : 181,735,093.13 = 181,735,093.13 : x
  2. Step 2: Convert to fraction form
    83,047,551.75/181,735,093.13 = 181,735,093.13/x
  3. Step 3: Cross multiply
    83,047,551.75x = 181,735,093.13 × 181,735,093.13
  4. Step 4: Simplify right side
    83,047,551.75x = 33,027,644,073,152,424
  5. Step 5: Solve for x
    x = 33,027,644,073,152,424/83,047,551.75
  6. Step 6: Final answer
    x = 397,695,577.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.