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Finding the Third Proportional to 198,566,823.25 and 432,886,845.75

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Solution

The third proportional to 198,566,823.25 and 432,886,845.75 is: 943,717,677.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,566,823.25 : 432,886,845.75 = 432,886,845.75 : x
  2. Step 2: Convert to fraction form
    198,566,823.25/432,886,845.75 = 432,886,845.75/x
  3. Step 3: Cross multiply
    198,566,823.25x = 432,886,845.75 × 432,886,845.75
  4. Step 4: Simplify right side
    198,566,823.25x = 187,391,021,223,384,288
  5. Step 5: Solve for x
    x = 187,391,021,223,384,288/198,566,823.25
  6. Step 6: Final answer
    x = 943,717,677.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.