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Finding the Third Proportional to 103,968,800 and 161,639,292

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Solution

The third proportional to 103,968,800 and 161,639,292 is: 251,299,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,968,800 : 161,639,292 = 161,639,292 : x
  2. Step 2: Convert to fraction form
    103,968,800/161,639,292 = 161,639,292/x
  3. Step 3: Cross multiply
    103,968,800x = 161,639,292 × 161,639,292
  4. Step 4: Simplify right side
    103,968,800x = 26,127,260,718,261,264
  5. Step 5: Solve for x
    x = 26,127,260,718,261,264/103,968,800
  6. Step 6: Final answer
    x = 251,299,050.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.