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Finding the Third Proportional to 68,164,348 and 107,953,152

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Solution

The third proportional to 68,164,348 and 107,953,152 is: 170,967,424.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,164,348 : 107,953,152 = 107,953,152 : x
  2. Step 2: Convert to fraction form
    68,164,348/107,953,152 = 107,953,152/x
  3. Step 3: Cross multiply
    68,164,348x = 107,953,152 × 107,953,152
  4. Step 4: Simplify right side
    68,164,348x = 11,653,883,026,735,104
  5. Step 5: Solve for x
    x = 11,653,883,026,735,104/68,164,348
  6. Step 6: Final answer
    x = 170,967,424.59

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.