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Finding the Third Proportional to 64,156,738.50 and 96,236,748

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Solution

The third proportional to 64,156,738.50 and 96,236,748 is: 144,357,582.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,156,738.50 : 96,236,748 = 96,236,748 : x
  2. Step 2: Convert to fraction form
    64,156,738.50/96,236,748 = 96,236,748/x
  3. Step 3: Cross multiply
    64,156,738.50x = 96,236,748 × 96,236,748
  4. Step 4: Simplify right side
    64,156,738.50x = 9,261,511,665,615,504
  5. Step 5: Solve for x
    x = 9,261,511,665,615,504/64,156,738.50
  6. Step 6: Final answer
    x = 144,357,582.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.