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Finding the Third Proportional to 67,095,720 and 146,753,352

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Solution

The third proportional to 67,095,720 and 146,753,352 is: 320,982,416.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,095,720 : 146,753,352 = 146,753,352 : x
  2. Step 2: Convert to fraction form
    67,095,720/146,753,352 = 146,753,352/x
  3. Step 3: Cross multiply
    67,095,720x = 146,753,352 × 146,753,352
  4. Step 4: Simplify right side
    67,095,720x = 21,536,546,323,235,904
  5. Step 5: Solve for x
    x = 21,536,546,323,235,904/67,095,720
  6. Step 6: Final answer
    x = 320,982,416.21

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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.