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Finding the Third Proportional to 68,632,464 and 142,910,352

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Solution

The third proportional to 68,632,464 and 142,910,352 is: 297,575,921.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,632,464 : 142,910,352 = 142,910,352 : x
  2. Step 2: Convert to fraction form
    68,632,464/142,910,352 = 142,910,352/x
  3. Step 3: Cross multiply
    68,632,464x = 142,910,352 × 142,910,352
  4. Step 4: Simplify right side
    68,632,464x = 20,423,368,708,763,904
  5. Step 5: Solve for x
    x = 20,423,368,708,763,904/68,632,464
  6. Step 6: Final answer
    x = 297,575,921.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.