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Finding the Third Proportional to 256,668,792 and 554,246,160

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Solution

The third proportional to 256,668,792 and 554,246,160 is: 1,196,829,593.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,668,792 : 554,246,160 = 554,246,160 : x
  2. Step 2: Convert to fraction form
    256,668,792/554,246,160 = 554,246,160/x
  3. Step 3: Cross multiply
    256,668,792x = 554,246,160 × 554,246,160
  4. Step 4: Simplify right side
    256,668,792x = 307,188,805,874,745,600
  5. Step 5: Solve for x
    x = 307,188,805,874,745,600/256,668,792
  6. Step 6: Final answer
    x = 1,196,829,593.04

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Why These Related Problems?

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