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Finding the Third Proportional to 182,693,689.03 and 431,124,406.88

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Solution

The third proportional to 182,693,689.03 and 431,124,406.88 is: 1,017,376,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,693,689.03 : 431,124,406.88 = 431,124,406.88 : x
  2. Step 2: Convert to fraction form
    182,693,689.03/431,124,406.88 = 431,124,406.88/x
  3. Step 3: Cross multiply
    182,693,689.03x = 431,124,406.88 × 431,124,406.88
  4. Step 4: Simplify right side
    182,693,689.03x = 185,868,254,203,320,544
  5. Step 5: Solve for x
    x = 185,868,254,203,320,544/182,693,689.03
  6. Step 6: Final answer
    x = 1,017,376,435.87

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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.