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Finding the Third Proportional to 265,920,425.05 and 397,415,005.32

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Solution

The third proportional to 265,920,425.05 and 397,415,005.32 is: 593,932,137.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,920,425.05 : 397,415,005.32 = 397,415,005.32 : x
  2. Step 2: Convert to fraction form
    265,920,425.05/397,415,005.32 = 397,415,005.32/x
  3. Step 3: Cross multiply
    265,920,425.05x = 397,415,005.32 × 397,415,005.32
  4. Step 4: Simplify right side
    265,920,425.05x = 157,938,686,451,007,776
  5. Step 5: Solve for x
    x = 157,938,686,451,007,776/265,920,425.05
  6. Step 6: Final answer
    x = 593,932,137.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.