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Finding the Third Proportional to 90,785,089 and 194,191,900

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Solution

The third proportional to 90,785,089 and 194,191,900 is: 415,382,024.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,785,089 : 194,191,900 = 194,191,900 : x
  2. Step 2: Convert to fraction form
    90,785,089/194,191,900 = 194,191,900/x
  3. Step 3: Cross multiply
    90,785,089x = 194,191,900 × 194,191,900
  4. Step 4: Simplify right side
    90,785,089x = 37,710,494,025,610,000
  5. Step 5: Solve for x
    x = 37,710,494,025,610,000/90,785,089
  6. Step 6: Final answer
    x = 415,382,024.09

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.