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Finding the Third Proportional to 227,153,499.75 and 494,106,642

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Solution

The third proportional to 227,153,499.75 and 494,106,642 is: 1,074,785,878.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,153,499.75 : 494,106,642 = 494,106,642 : x
  2. Step 2: Convert to fraction form
    227,153,499.75/494,106,642 = 494,106,642/x
  3. Step 3: Cross multiply
    227,153,499.75x = 494,106,642 × 494,106,642
  4. Step 4: Simplify right side
    227,153,499.75x = 244,141,373,668,516,160
  5. Step 5: Solve for x
    x = 244,141,373,668,516,160/227,153,499.75
  6. Step 6: Final answer
    x = 1,074,785,878.00

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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.