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Finding the Third Proportional to 68,033,354 and 105,057,654

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Solution

The third proportional to 68,033,354 and 105,057,654 is: 162,230,876.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,033,354 : 105,057,654 = 105,057,654 : x
  2. Step 2: Convert to fraction form
    68,033,354/105,057,654 = 105,057,654/x
  3. Step 3: Cross multiply
    68,033,354x = 105,057,654 × 105,057,654
  4. Step 4: Simplify right side
    68,033,354x = 11,037,110,663,983,716
  5. Step 5: Solve for x
    x = 11,037,110,663,983,716/68,033,354
  6. Step 6: Final answer
    x = 162,230,876.70

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.