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Finding the Third Proportional to 67,296,441 and 143,919,342

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Solution

The third proportional to 67,296,441 and 143,919,342 is: 307,784,136.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,296,441 : 143,919,342 = 143,919,342 : x
  2. Step 2: Convert to fraction form
    67,296,441/143,919,342 = 143,919,342/x
  3. Step 3: Cross multiply
    67,296,441x = 143,919,342 × 143,919,342
  4. Step 4: Simplify right side
    67,296,441x = 20,712,777,001,712,964
  5. Step 5: Solve for x
    x = 20,712,777,001,712,964/67,296,441
  6. Step 6: Final answer
    x = 307,784,136.78

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Why These Related Problems?

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