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Finding the Third Proportional to 156,049,771.50 and 243,009,648

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Solution

The third proportional to 156,049,771.50 and 243,009,648 is: 378,428,551.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,049,771.50 : 243,009,648 = 243,009,648 : x
  2. Step 2: Convert to fraction form
    156,049,771.50/243,009,648 = 243,009,648/x
  3. Step 3: Cross multiply
    156,049,771.50x = 243,009,648 × 243,009,648
  4. Step 4: Simplify right side
    156,049,771.50x = 59,053,689,021,083,904
  5. Step 5: Solve for x
    x = 59,053,689,021,083,904/156,049,771.50
  6. Step 6: Final answer
    x = 378,428,551.70

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