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Finding the Third Proportional to 236,890,482.19 and 511,236,658.69

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Solution

The third proportional to 236,890,482.19 and 511,236,658.69 is: 1,103,306,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,890,482.19 : 511,236,658.69 = 511,236,658.69 : x
  2. Step 2: Convert to fraction form
    236,890,482.19/511,236,658.69 = 511,236,658.69/x
  3. Step 3: Cross multiply
    236,890,482.19x = 511,236,658.69 × 511,236,658.69
  4. Step 4: Simplify right side
    236,890,482.19x = 261,362,921,185,959,360
  5. Step 5: Solve for x
    x = 261,362,921,185,959,360/236,890,482.19
  6. Step 6: Final answer
    x = 1,103,306,974.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.