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Finding the Third Proportional to 96,112,053.75 and 209,689,270.13

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Solution

The third proportional to 96,112,053.75 and 209,689,270.13 is: 457,482,576.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,112,053.75 : 209,689,270.13 = 209,689,270.13 : x
  2. Step 2: Convert to fraction form
    96,112,053.75/209,689,270.13 = 209,689,270.13/x
  3. Step 3: Cross multiply
    96,112,053.75x = 209,689,270.13 × 209,689,270.13
  4. Step 4: Simplify right side
    96,112,053.75x = 43,969,590,005,555,216
  5. Step 5: Solve for x
    x = 43,969,590,005,555,216/96,112,053.75
  6. Step 6: Final answer
    x = 457,482,576.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.