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Finding the Third Proportional to 118,458,720 and 264,139,984

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Solution

The third proportional to 118,458,720 and 264,139,984 is: 588,980,964.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,458,720 : 264,139,984 = 264,139,984 : x
  2. Step 2: Convert to fraction form
    118,458,720/264,139,984 = 264,139,984/x
  3. Step 3: Cross multiply
    118,458,720x = 264,139,984 × 264,139,984
  4. Step 4: Simplify right side
    118,458,720x = 69,769,931,147,520,256
  5. Step 5: Solve for x
    x = 69,769,931,147,520,256/118,458,720
  6. Step 6: Final answer
    x = 588,980,964.40

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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.