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Finding the Third Proportional to 223,986,703.75 and 311,435,607.50

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Solution

The third proportional to 223,986,703.75 and 311,435,607.50 is: 433,026,318.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,986,703.75 : 311,435,607.50 = 311,435,607.50 : x
  2. Step 2: Convert to fraction form
    223,986,703.75/311,435,607.50 = 311,435,607.50/x
  3. Step 3: Cross multiply
    223,986,703.75x = 311,435,607.50 × 311,435,607.50
  4. Step 4: Simplify right side
    223,986,703.75x = 96,992,137,618,894,064
  5. Step 5: Solve for x
    x = 96,992,137,618,894,064/223,986,703.75
  6. Step 6: Final answer
    x = 433,026,318.06

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.