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Finding the Third Proportional to 68,955,488 and 146,316,716

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Solution

The third proportional to 68,955,488 and 146,316,716 is: 310,469,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,955,488 : 146,316,716 = 146,316,716 : x
  2. Step 2: Convert to fraction form
    68,955,488/146,316,716 = 146,316,716/x
  3. Step 3: Cross multiply
    68,955,488x = 146,316,716 × 146,316,716
  4. Step 4: Simplify right side
    68,955,488x = 21,408,581,381,024,656
  5. Step 5: Solve for x
    x = 21,408,581,381,024,656/68,955,488
  6. Step 6: Final answer
    x = 310,469,579.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.