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Finding the Third Proportional to 96,152,406.75 and 226,752,064.88

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Solution

The third proportional to 96,152,406.75 and 226,752,064.88 is: 534,739,593.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,152,406.75 : 226,752,064.88 = 226,752,064.88 : x
  2. Step 2: Convert to fraction form
    96,152,406.75/226,752,064.88 = 226,752,064.88/x
  3. Step 3: Cross multiply
    96,152,406.75x = 226,752,064.88 × 226,752,064.88
  4. Step 4: Simplify right side
    96,152,406.75x = 51,416,498,925,076,208
  5. Step 5: Solve for x
    x = 51,416,498,925,076,208/96,152,406.75
  6. Step 6: Final answer
    x = 534,739,593.77

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.