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Finding the Third Proportional to 68,697,619 and 148,156,614

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Solution

The third proportional to 68,697,619 and 148,156,614 is: 319,521,732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,697,619 : 148,156,614 = 148,156,614 : x
  2. Step 2: Convert to fraction form
    68,697,619/148,156,614 = 148,156,614/x
  3. Step 3: Cross multiply
    68,697,619x = 148,156,614 × 148,156,614
  4. Step 4: Simplify right side
    68,697,619x = 21,950,382,271,944,996
  5. Step 5: Solve for x
    x = 21,950,382,271,944,996/68,697,619
  6. Step 6: Final answer
    x = 319,521,732.94

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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.