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Finding the Third Proportional to 111,977,180 and 160,127,558.50

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Solution

The third proportional to 111,977,180 and 160,127,558.50 is: 228,982,681.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,977,180 : 160,127,558.50 = 160,127,558.50 : x
  2. Step 2: Convert to fraction form
    111,977,180/160,127,558.50 = 160,127,558.50/x
  3. Step 3: Cross multiply
    111,977,180x = 160,127,558.50 × 160,127,558.50
  4. Step 4: Simplify right side
    111,977,180x = 25,640,834,991,170,924
  5. Step 5: Solve for x
    x = 25,640,834,991,170,924/111,977,180
  6. Step 6: Final answer
    x = 228,982,681.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.