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Finding the Third Proportional to 68,440,464 and 142,542,342

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Solution

The third proportional to 68,440,464 and 142,542,342 is: 296,875,825.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,440,464 : 142,542,342 = 142,542,342 : x
  2. Step 2: Convert to fraction form
    68,440,464/142,542,342 = 142,542,342/x
  3. Step 3: Cross multiply
    68,440,464x = 142,542,342 × 142,542,342
  4. Step 4: Simplify right side
    68,440,464x = 20,318,319,262,844,964
  5. Step 5: Solve for x
    x = 20,318,319,262,844,964/68,440,464
  6. Step 6: Final answer
    x = 296,875,825.72

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.