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Finding the Third Proportional to 65,302,848 and 101,924,352

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Solution

The third proportional to 65,302,848 and 101,924,352 is: 159,083,008.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,302,848 : 101,924,352 = 101,924,352 : x
  2. Step 2: Convert to fraction form
    65,302,848/101,924,352 = 101,924,352/x
  3. Step 3: Cross multiply
    65,302,848x = 101,924,352 × 101,924,352
  4. Step 4: Simplify right side
    65,302,848x = 10,388,573,530,619,904
  5. Step 5: Solve for x
    x = 10,388,573,530,619,904/65,302,848
  6. Step 6: Final answer
    x = 159,083,008.61

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.