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Finding the Third Proportional to 114,600,962 and 177,710,979

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Solution

The third proportional to 114,600,962 and 177,710,979 is: 275,575,278.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,600,962 : 177,710,979 = 177,710,979 : x
  2. Step 2: Convert to fraction form
    114,600,962/177,710,979 = 177,710,979/x
  3. Step 3: Cross multiply
    114,600,962x = 177,710,979 × 177,710,979
  4. Step 4: Simplify right side
    114,600,962x = 31,581,192,057,138,440
  5. Step 5: Solve for x
    x = 31,581,192,057,138,440/114,600,962
  6. Step 6: Final answer
    x = 275,575,278.83

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.