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Finding the Third Proportional to 68,697,704 and 148,156,786

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Solution

The third proportional to 68,697,704 and 148,156,786 is: 319,522,079.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,697,704 : 148,156,786 = 148,156,786 : x
  2. Step 2: Convert to fraction form
    68,697,704/148,156,786 = 148,156,786/x
  3. Step 3: Cross multiply
    68,697,704x = 148,156,786 × 148,156,786
  4. Step 4: Simplify right side
    68,697,704x = 21,950,433,237,849,796
  5. Step 5: Solve for x
    x = 21,950,433,237,849,796/68,697,704
  6. Step 6: Final answer
    x = 319,522,079.48

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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.