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Finding the Third Proportional to 172,021,787,106 and 239,182,544,812.50

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Solution

The third proportional to 172,021,787,106 and 239,182,544,812.50 is: 332,564,210,065.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,021,787,106 : 239,182,544,812.50 = 239,182,544,812.50 : x
  2. Step 2: Convert to fraction form
    172,021,787,106/239,182,544,812.50 = 239,182,544,812.50/x
  3. Step 3: Cross multiply
    172,021,787,106x = 239,182,544,812.50 × 239,182,544,812.50
  4. Step 4: Simplify right side
    172,021,787,106x = 57,208,289,742,983,574,585,344
  5. Step 5: Solve for x
    x = 57,208,289,742,983,574,585,344/172,021,787,106
  6. Step 6: Final answer
    x = 332,564,210,065.62

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.