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Finding the Third Proportional to 111,180,973.50 and 160,392,222

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Solution

The third proportional to 111,180,973.50 and 160,392,222 is: 231,385,497.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,180,973.50 : 160,392,222 = 160,392,222 : x
  2. Step 2: Convert to fraction form
    111,180,973.50/160,392,222 = 160,392,222/x
  3. Step 3: Cross multiply
    111,180,973.50x = 160,392,222 × 160,392,222
  4. Step 4: Simplify right side
    111,180,973.50x = 25,725,664,878,097,284
  5. Step 5: Solve for x
    x = 25,725,664,878,097,284/111,180,973.50
  6. Step 6: Final answer
    x = 231,385,497.61

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.