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Finding the Third Proportional to 178,362,468 and 251,175,222

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Solution

The third proportional to 178,362,468 and 251,175,222 is: 353,712,262.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,362,468 : 251,175,222 = 251,175,222 : x
  2. Step 2: Convert to fraction form
    178,362,468/251,175,222 = 251,175,222/x
  3. Step 3: Cross multiply
    178,362,468x = 251,175,222 × 251,175,222
  4. Step 4: Simplify right side
    178,362,468x = 63,088,992,146,749,280
  5. Step 5: Solve for x
    x = 63,088,992,146,749,280/178,362,468
  6. Step 6: Final answer
    x = 353,712,262.75

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Why These Related Problems?

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