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Finding the Third Proportional to 233,562,156.25 and 328,489,545.75

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Solution

The third proportional to 233,562,156.25 and 328,489,545.75 is: 461,998,567.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,562,156.25 : 328,489,545.75 = 328,489,545.75 : x
  2. Step 2: Convert to fraction form
    233,562,156.25/328,489,545.75 = 328,489,545.75/x
  3. Step 3: Cross multiply
    233,562,156.25x = 328,489,545.75 × 328,489,545.75
  4. Step 4: Simplify right side
    233,562,156.25x = 107,905,381,667,041,344
  5. Step 5: Solve for x
    x = 107,905,381,667,041,344/233,562,156.25
  6. Step 6: Final answer
    x = 461,998,567.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.