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Finding the Third Proportional to 111,796,200 and 177,772,140

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Solution

The third proportional to 111,796,200 and 177,772,140 is: 282,683,434.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,796,200 : 177,772,140 = 177,772,140 : x
  2. Step 2: Convert to fraction form
    111,796,200/177,772,140 = 177,772,140/x
  3. Step 3: Cross multiply
    111,796,200x = 177,772,140 × 177,772,140
  4. Step 4: Simplify right side
    111,796,200x = 31,602,933,760,179,600
  5. Step 5: Solve for x
    x = 31,602,933,760,179,600/111,796,200
  6. Step 6: Final answer
    x = 282,683,434.32

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.