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Finding the Third Proportional to 232,594,740 and 364,923,792

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Solution

The third proportional to 232,594,740 and 364,923,792 is: 572,538,200.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,594,740 : 364,923,792 = 364,923,792 : x
  2. Step 2: Convert to fraction form
    232,594,740/364,923,792 = 364,923,792/x
  3. Step 3: Cross multiply
    232,594,740x = 364,923,792 × 364,923,792
  4. Step 4: Simplify right side
    232,594,740x = 133,169,373,967,659,264
  5. Step 5: Solve for x
    x = 133,169,373,967,659,264/232,594,740
  6. Step 6: Final answer
    x = 572,538,200.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.