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Finding the Third Proportional to 68,005,192 and 146,757,140

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Solution

The third proportional to 68,005,192 and 146,757,140 is: 316,706,085.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,005,192 : 146,757,140 = 146,757,140 : x
  2. Step 2: Convert to fraction form
    68,005,192/146,757,140 = 146,757,140/x
  3. Step 3: Cross multiply
    68,005,192x = 146,757,140 × 146,757,140
  4. Step 4: Simplify right side
    68,005,192x = 21,537,658,140,979,600
  5. Step 5: Solve for x
    x = 21,537,658,140,979,600/68,005,192
  6. Step 6: Final answer
    x = 316,706,085.34

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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.