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Finding the Third Proportional to 68,147,600 and 147,793,312

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Solution

The third proportional to 68,147,600 and 147,793,312 is: 320,522,851.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,147,600 : 147,793,312 = 147,793,312 : x
  2. Step 2: Convert to fraction form
    68,147,600/147,793,312 = 147,793,312/x
  3. Step 3: Cross multiply
    68,147,600x = 147,793,312 × 147,793,312
  4. Step 4: Simplify right side
    68,147,600x = 21,842,863,071,929,344
  5. Step 5: Solve for x
    x = 21,842,863,071,929,344/68,147,600
  6. Step 6: Final answer
    x = 320,522,851.46

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.