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Finding the Third Proportional to 181,241,674,422.75 and 284,314,702,428

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Solution

The third proportional to 181,241,674,422.75 and 284,314,702,428 is: 446,005,866,333.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,241,674,422.75 : 284,314,702,428 = 284,314,702,428 : x
  2. Step 2: Convert to fraction form
    181,241,674,422.75/284,314,702,428 = 284,314,702,428/x
  3. Step 3: Cross multiply
    181,241,674,422.75x = 284,314,702,428 × 284,314,702,428
  4. Step 4: Simplify right side
    181,241,674,422.75x = 80,834,850,016,722,189,025,280
  5. Step 5: Solve for x
    x = 80,834,850,016,722,189,025,280/181,241,674,422.75
  6. Step 6: Final answer
    x = 446,005,866,333.88

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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.