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Finding the Third Proportional to 130,767,960 and 277,475,760

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Solution

The third proportional to 130,767,960 and 277,475,760 is: 588,774,172.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,767,960 : 277,475,760 = 277,475,760 : x
  2. Step 2: Convert to fraction form
    130,767,960/277,475,760 = 277,475,760/x
  3. Step 3: Cross multiply
    130,767,960x = 277,475,760 × 277,475,760
  4. Step 4: Simplify right side
    130,767,960x = 76,992,797,387,577,600
  5. Step 5: Solve for x
    x = 76,992,797,387,577,600/130,767,960
  6. Step 6: Final answer
    x = 588,774,172.11

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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.