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Finding the Third Proportional to 68,033,348 and 105,057,645

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Solution

The third proportional to 68,033,348 and 105,057,645 is: 162,230,863.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033,348 : 105,057,645 = 105,057,645 : x
  2. Step 2: Convert to fraction form
    68,033,348/105,057,645 = 105,057,645/x
  3. Step 3: Cross multiply
    68,033,348x = 105,057,645 × 105,057,645
  4. Step 4: Simplify right side
    68,033,348x = 11,037,108,772,946,024
  5. Step 5: Solve for x
    x = 11,037,108,772,946,024/68,033,348
  6. Step 6: Final answer
    x = 162,230,863.21

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.