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Finding the Third Proportional to 233,314,826.94 and 499,908,789.31

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Solution

The third proportional to 233,314,826.94 and 499,908,789.31 is: 1,071,122,658.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,314,826.94 : 499,908,789.31 = 499,908,789.31 : x
  2. Step 2: Convert to fraction form
    233,314,826.94/499,908,789.31 = 499,908,789.31/x
  3. Step 3: Cross multiply
    233,314,826.94x = 499,908,789.31 × 499,908,789.31
  4. Step 4: Simplify right side
    233,314,826.94x = 249,908,797,631,889,504
  5. Step 5: Solve for x
    x = 249,908,797,631,889,504/233,314,826.94
  6. Step 6: Final answer
    x = 1,071,122,658.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.