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Finding the Third Proportional to 242,399,000.25 and 376,103,742.75

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Solution

The third proportional to 242,399,000.25 and 376,103,742.75 is: 583,558,616.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,399,000.25 : 376,103,742.75 = 376,103,742.75 : x
  2. Step 2: Convert to fraction form
    242,399,000.25/376,103,742.75 = 376,103,742.75/x
  3. Step 3: Cross multiply
    242,399,000.25x = 376,103,742.75 × 376,103,742.75
  4. Step 4: Simplify right side
    242,399,000.25x = 141,454,025,310,558,176
  5. Step 5: Solve for x
    x = 141,454,025,310,558,176/242,399,000.25
  6. Step 6: Final answer
    x = 583,558,616.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.