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Finding the Third Proportional to 186,384,912.75 and 291,745,837.13

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Solution

The third proportional to 186,384,912.75 and 291,745,837.13 is: 456,665,897.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,384,912.75 : 291,745,837.13 = 291,745,837.13 : x
  2. Step 2: Convert to fraction form
    186,384,912.75/291,745,837.13 = 291,745,837.13/x
  3. Step 3: Cross multiply
    186,384,912.75x = 291,745,837.13 × 291,745,837.13
  4. Step 4: Simplify right side
    186,384,912.75x = 85,115,633,479,767,024
  5. Step 5: Solve for x
    x = 85,115,633,479,767,024/186,384,912.75
  6. Step 6: Final answer
    x = 456,665,897.60

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.