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Finding the Third Proportional to 243,228,834 and 376,937,725.50

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Solution

The third proportional to 243,228,834 and 376,937,725.50 is: 584,149,693.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,228,834 : 376,937,725.50 = 376,937,725.50 : x
  2. Step 2: Convert to fraction form
    243,228,834/376,937,725.50 = 376,937,725.50/x
  3. Step 3: Cross multiply
    243,228,834x = 376,937,725.50 × 376,937,725.50
  4. Step 4: Simplify right side
    243,228,834x = 142,082,048,905,113,344
  5. Step 5: Solve for x
    x = 142,082,048,905,113,344/243,228,834
  6. Step 6: Final answer
    x = 584,149,693.80

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Why These Related Problems?

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