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Finding the Third Proportional to 75,770,101.13 and 163,665,024.75

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Solution

The third proportional to 75,770,101.13 and 163,665,024.75 is: 353,519,923.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,770,101.13 : 163,665,024.75 = 163,665,024.75 : x
  2. Step 2: Convert to fraction form
    75,770,101.13/163,665,024.75 = 163,665,024.75/x
  3. Step 3: Cross multiply
    75,770,101.13x = 163,665,024.75 × 163,665,024.75
  4. Step 4: Simplify right side
    75,770,101.13x = 26,786,240,326,418,112
  5. Step 5: Solve for x
    x = 26,786,240,326,418,112/75,770,101.13
  6. Step 6: Final answer
    x = 353,519,923.15

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.