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Finding the Third Proportional to 114,230,441.25 and 174,024,007.88

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Solution

The third proportional to 114,230,441.25 and 174,024,007.88 is: 265,116,329.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,230,441.25 : 174,024,007.88 = 174,024,007.88 : x
  2. Step 2: Convert to fraction form
    114,230,441.25/174,024,007.88 = 174,024,007.88/x
  3. Step 3: Cross multiply
    114,230,441.25x = 174,024,007.88 × 174,024,007.88
  4. Step 4: Simplify right side
    114,230,441.25x = 30,284,355,316,878,064
  5. Step 5: Solve for x
    x = 30,284,355,316,878,064/114,230,441.25
  6. Step 6: Final answer
    x = 265,116,329.64

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.