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Finding the Third Proportional to 244,929,459,906 and 340,554,836,292

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Solution

The third proportional to 244,929,459,906 and 340,554,836,292 is: 473,514,278,626.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    244,929,459,906 : 340,554,836,292 = 340,554,836,292 : x
  2. Step 2: Convert to fraction form
    244,929,459,906/340,554,836,292 = 340,554,836,292/x
  3. Step 3: Cross multiply
    244,929,459,906x = 340,554,836,292 × 340,554,836,292
  4. Step 4: Simplify right side
    244,929,459,906x = 115,977,596,521,870,912,389,120
  5. Step 5: Solve for x
    x = 115,977,596,521,870,912,389,120/244,929,459,906
  6. Step 6: Final answer
    x = 473,514,278,626.92

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.