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Finding the Third Proportional to 175,885,362 and 380,722,717.50

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Solution

The third proportional to 175,885,362 and 380,722,717.50 is: 824,115,128.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,885,362 : 380,722,717.50 = 380,722,717.50 : x
  2. Step 2: Convert to fraction form
    175,885,362/380,722,717.50 = 380,722,717.50/x
  3. Step 3: Cross multiply
    175,885,362x = 380,722,717.50 × 380,722,717.50
  4. Step 4: Simplify right side
    175,885,362x = 144,949,787,620,584,800
  5. Step 5: Solve for x
    x = 144,949,787,620,584,800/175,885,362
  6. Step 6: Final answer
    x = 824,115,128.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.