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Finding the Third Proportional to 68,697,640 and 148,156,652

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Solution

The third proportional to 68,697,640 and 148,156,652 is: 319,521,799.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,697,640 : 148,156,652 = 148,156,652 : x
  2. Step 2: Convert to fraction form
    68,697,640/148,156,652 = 148,156,652/x
  3. Step 3: Cross multiply
    68,697,640x = 148,156,652 × 148,156,652
  4. Step 4: Simplify right side
    68,697,640x = 21,950,393,531,849,104
  5. Step 5: Solve for x
    x = 21,950,393,531,849,104/68,697,640
  6. Step 6: Final answer
    x = 319,521,799.17

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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.