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Finding the Third Proportional to 228,811,724 and 487,558,096

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Solution

The third proportional to 228,811,724 and 487,558,096 is: 1,038,901,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,811,724 : 487,558,096 = 487,558,096 : x
  2. Step 2: Convert to fraction form
    228,811,724/487,558,096 = 487,558,096/x
  3. Step 3: Cross multiply
    228,811,724x = 487,558,096 × 487,558,096
  4. Step 4: Simplify right side
    228,811,724x = 237,712,896,975,145,216
  5. Step 5: Solve for x
    x = 237,712,896,975,145,216/228,811,724
  6. Step 6: Final answer
    x = 1,038,901,734.66

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.