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Finding the Third Proportional to 235,893,406.50 and 369,240,828.75

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Solution

The third proportional to 235,893,406.50 and 369,240,828.75 is: 577,967,784.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,893,406.50 : 369,240,828.75 = 369,240,828.75 : x
  2. Step 2: Convert to fraction form
    235,893,406.50/369,240,828.75 = 369,240,828.75/x
  3. Step 3: Cross multiply
    235,893,406.50x = 369,240,828.75 × 369,240,828.75
  4. Step 4: Simplify right side
    235,893,406.50x = 136,338,789,615,986,832
  5. Step 5: Solve for x
    x = 136,338,789,615,986,832/235,893,406.50
  6. Step 6: Final answer
    x = 577,967,784.85

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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.