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Finding the Third Proportional to 49,378,008.38 and 107,448,541.88

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Solution

The third proportional to 49,378,008.38 and 107,448,541.88 is: 233,812,369.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,378,008.38 : 107,448,541.88 = 107,448,541.88 : x
  2. Step 2: Convert to fraction form
    49,378,008.38/107,448,541.88 = 107,448,541.88/x
  3. Step 3: Cross multiply
    49,378,008.38x = 107,448,541.88 × 107,448,541.88
  4. Step 4: Simplify right side
    49,378,008.38x = 11,545,189,151,063,628
  5. Step 5: Solve for x
    x = 11,545,189,151,063,628/49,378,008.38
  6. Step 6: Final answer
    x = 233,812,369.74

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.