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Finding the Third Proportional to 68,697,698 and 148,156,774

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Solution

The third proportional to 68,697,698 and 148,156,774 is: 319,522,055.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,697,698 : 148,156,774 = 148,156,774 : x
  2. Step 2: Convert to fraction form
    68,697,698/148,156,774 = 148,156,774/x
  3. Step 3: Cross multiply
    68,697,698x = 148,156,774 × 148,156,774
  4. Step 4: Simplify right side
    68,697,698x = 21,950,429,682,087,076
  5. Step 5: Solve for x
    x = 21,950,429,682,087,076/68,697,698
  6. Step 6: Final answer
    x = 319,522,055.63

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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.