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Finding the Third Proportional to 89,822,813.63 and 194,891,386.50

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Solution

The third proportional to 89,822,813.63 and 194,891,386.50 is: 422,861,976.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,822,813.63 : 194,891,386.50 = 194,891,386.50 : x
  2. Step 2: Convert to fraction form
    89,822,813.63/194,891,386.50 = 194,891,386.50/x
  3. Step 3: Cross multiply
    89,822,813.63x = 194,891,386.50 × 194,891,386.50
  4. Step 4: Simplify right side
    89,822,813.63x = 37,982,652,531,892,384
  5. Step 5: Solve for x
    x = 37,982,652,531,892,384/89,822,813.63
  6. Step 6: Final answer
    x = 422,861,976.81

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.