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Finding the Third Proportional to 118,458,039.38 and 264,137,986.13

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Solution

The third proportional to 118,458,039.38 and 264,137,986.13 is: 588,975,438.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,458,039.38 : 264,137,986.13 = 264,137,986.13 : x
  2. Step 2: Convert to fraction form
    118,458,039.38/264,137,986.13 = 264,137,986.13/x
  3. Step 3: Cross multiply
    118,458,039.38x = 264,137,986.13 × 264,137,986.13
  4. Step 4: Simplify right side
    118,458,039.38x = 69,768,875,714,170,696
  5. Step 5: Solve for x
    x = 69,768,875,714,170,696/118,458,039.38
  6. Step 6: Final answer
    x = 588,975,438.75

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.