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Finding the Third Proportional to 154,032,872 and 338,294,416

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Solution

The third proportional to 154,032,872 and 338,294,416 is: 742,978,498.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,032,872 : 338,294,416 = 338,294,416 : x
  2. Step 2: Convert to fraction form
    154,032,872/338,294,416 = 338,294,416/x
  3. Step 3: Cross multiply
    154,032,872x = 338,294,416 × 338,294,416
  4. Step 4: Simplify right side
    154,032,872x = 114,443,111,896,781,056
  5. Step 5: Solve for x
    x = 114,443,111,896,781,056/154,032,872
  6. Step 6: Final answer
    x = 742,978,498.10

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.