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Finding the Third Proportional to 161,107,698 and 238,641,513

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Solution

The third proportional to 161,107,698 and 238,641,513 is: 353,488,830.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,107,698 : 238,641,513 = 238,641,513 : x
  2. Step 2: Convert to fraction form
    161,107,698/238,641,513 = 238,641,513/x
  3. Step 3: Cross multiply
    161,107,698x = 238,641,513 × 238,641,513
  4. Step 4: Simplify right side
    161,107,698x = 56,949,771,726,929,168
  5. Step 5: Solve for x
    x = 56,949,771,726,929,168/161,107,698
  6. Step 6: Final answer
    x = 353,488,830.35

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.