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Finding the Third Proportional to 227,776,921.50 and 340,172,778

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Solution

The third proportional to 227,776,921.50 and 340,172,778 is: 508,030,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,776,921.50 : 340,172,778 = 340,172,778 : x
  2. Step 2: Convert to fraction form
    227,776,921.50/340,172,778 = 340,172,778/x
  3. Step 3: Cross multiply
    227,776,921.50x = 340,172,778 × 340,172,778
  4. Step 4: Simplify right side
    227,776,921.50x = 115,717,518,892,237,280
  5. Step 5: Solve for x
    x = 115,717,518,892,237,280/227,776,921.50
  6. Step 6: Final answer
    x = 508,030,041.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.