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Finding the Third Proportional to 96,375,956.63 and 144,777,577.50

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Solution

The third proportional to 96,375,956.63 and 144,777,577.50 is: 217,487,303.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,375,956.63 : 144,777,577.50 = 144,777,577.50 : x
  2. Step 2: Convert to fraction form
    96,375,956.63/144,777,577.50 = 144,777,577.50/x
  3. Step 3: Cross multiply
    96,375,956.63x = 144,777,577.50 × 144,777,577.50
  4. Step 4: Simplify right side
    96,375,956.63x = 20,960,546,946,768,508
  5. Step 5: Solve for x
    x = 20,960,546,946,768,508/96,375,956.63
  6. Step 6: Final answer
    x = 217,487,303.69

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