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Finding the Third Proportional to 153,695,376 and 337,293,072

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Solution

The third proportional to 153,695,376 and 337,293,072 is: 740,208,452.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,695,376 : 337,293,072 = 337,293,072 : x
  2. Step 2: Convert to fraction form
    153,695,376/337,293,072 = 337,293,072/x
  3. Step 3: Cross multiply
    153,695,376x = 337,293,072 × 337,293,072
  4. Step 4: Simplify right side
    153,695,376x = 113,766,616,419,197,184
  5. Step 5: Solve for x
    x = 113,766,616,419,197,184/153,695,376
  6. Step 6: Final answer
    x = 740,208,452.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.