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Finding the Third Proportional to 102,738,724 and 154,979,002

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Solution

The third proportional to 102,738,724 and 154,979,002 is: 233,782,259.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,738,724 : 154,979,002 = 154,979,002 : x
  2. Step 2: Convert to fraction form
    102,738,724/154,979,002 = 154,979,002/x
  3. Step 3: Cross multiply
    102,738,724x = 154,979,002 × 154,979,002
  4. Step 4: Simplify right side
    102,738,724x = 24,018,491,060,916,004
  5. Step 5: Solve for x
    x = 24,018,491,060,916,004/102,738,724
  6. Step 6: Final answer
    x = 233,782,259.75

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.