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Finding the Third Proportional to 68,310,656 and 146,384,080

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Solution

The third proportional to 68,310,656 and 146,384,080 is: 313,688,963.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,310,656 : 146,384,080 = 146,384,080 : x
  2. Step 2: Convert to fraction form
    68,310,656/146,384,080 = 146,384,080/x
  3. Step 3: Cross multiply
    68,310,656x = 146,384,080 × 146,384,080
  4. Step 4: Simplify right side
    68,310,656x = 21,428,298,877,446,400
  5. Step 5: Solve for x
    x = 21,428,298,877,446,400/68,310,656
  6. Step 6: Final answer
    x = 313,688,963.51

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.