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Finding the Third Proportional to 130,767,291 and 277,474,531.50

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Solution

The third proportional to 130,767,291 and 277,474,531.50 is: 588,771,970.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,767,291 : 277,474,531.50 = 277,474,531.50 : x
  2. Step 2: Convert to fraction form
    130,767,291/277,474,531.50 = 277,474,531.50/x
  3. Step 3: Cross multiply
    130,767,291x = 277,474,531.50 × 277,474,531.50
  4. Step 4: Simplify right side
    130,767,291x = 76,992,115,631,144,496
  5. Step 5: Solve for x
    x = 76,992,115,631,144,496/130,767,291
  6. Step 6: Final answer
    x = 588,771,970.75

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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.