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Finding the Third Proportional to 111,232,424.25 and 235,076,168.25

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Solution

The third proportional to 111,232,424.25 and 235,076,168.25 is: 496,804,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,232,424.25 : 235,076,168.25 = 235,076,168.25 : x
  2. Step 2: Convert to fraction form
    111,232,424.25/235,076,168.25 = 235,076,168.25/x
  3. Step 3: Cross multiply
    111,232,424.25x = 235,076,168.25 × 235,076,168.25
  4. Step 4: Simplify right side
    111,232,424.25x = 55,260,804,879,102,312
  5. Step 5: Solve for x
    x = 55,260,804,879,102,312/111,232,424.25
  6. Step 6: Final answer
    x = 496,804,823.34

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.