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Finding the Third Proportional to 68,200,140 and 146,103,960

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Solution

The third proportional to 68,200,140 and 146,103,960 is: 312,995,942.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,200,140 : 146,103,960 = 146,103,960 : x
  2. Step 2: Convert to fraction form
    68,200,140/146,103,960 = 146,103,960/x
  3. Step 3: Cross multiply
    68,200,140x = 146,103,960 × 146,103,960
  4. Step 4: Simplify right side
    68,200,140x = 21,346,367,127,681,600
  5. Step 5: Solve for x
    x = 21,346,367,127,681,600/68,200,140
  6. Step 6: Final answer
    x = 312,995,942.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.