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Finding the Third Proportional to 256,668,912 and 554,246,400

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Solution

The third proportional to 256,668,912 and 554,246,400 is: 1,196,830,069.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668,912 : 554,246,400 = 554,246,400 : x
  2. Step 2: Convert to fraction form
    256,668,912/554,246,400 = 554,246,400/x
  3. Step 3: Cross multiply
    256,668,912x = 554,246,400 × 554,246,400
  4. Step 4: Simplify right side
    256,668,912x = 307,189,071,912,960,000
  5. Step 5: Solve for x
    x = 307,189,071,912,960,000/256,668,912
  6. Step 6: Final answer
    x = 1,196,830,069.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.