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Finding the Third Proportional to 68,697,695.25 and 148,156,767

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Solution

The third proportional to 68,697,695.25 and 148,156,767 is: 319,522,038.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,697,695.25 : 148,156,767 = 148,156,767 : x
  2. Step 2: Convert to fraction form
    68,697,695.25/148,156,767 = 148,156,767/x
  3. Step 3: Cross multiply
    68,697,695.25x = 148,156,767 × 148,156,767
  4. Step 4: Simplify right side
    68,697,695.25x = 21,950,427,607,892,288
  5. Step 5: Solve for x
    x = 21,950,427,607,892,288/68,697,695.25
  6. Step 6: Final answer
    x = 319,522,038.23

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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.