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Finding the Third Proportional to 141,864,786 and 305,614,152

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Solution

The third proportional to 141,864,786 and 305,614,152 is: 658,373,459.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,864,786 : 305,614,152 = 305,614,152 : x
  2. Step 2: Convert to fraction form
    141,864,786/305,614,152 = 305,614,152/x
  3. Step 3: Cross multiply
    141,864,786x = 305,614,152 × 305,614,152
  4. Step 4: Simplify right side
    141,864,786x = 93,400,009,902,679,104
  5. Step 5: Solve for x
    x = 93,400,009,902,679,104/141,864,786
  6. Step 6: Final answer
    x = 658,373,459.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.