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Finding the Third Proportional to 68,587,842 and 147,944,436

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Solution

The third proportional to 68,587,842 and 147,944,436 is: 319,117,142.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,587,842 : 147,944,436 = 147,944,436 : x
  2. Step 2: Convert to fraction form
    68,587,842/147,944,436 = 147,944,436/x
  3. Step 3: Cross multiply
    68,587,842x = 147,944,436 × 147,944,436
  4. Step 4: Simplify right side
    68,587,842x = 21,887,556,143,358,096
  5. Step 5: Solve for x
    x = 21,887,556,143,358,096/68,587,842
  6. Step 6: Final answer
    x = 319,117,142.41

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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.