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Finding the Third Proportional to 117,165,103,495 and 254,303,885,542

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Solution

The third proportional to 117,165,103,495 and 254,303,885,542 is: 551,960,133,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,165,103,495 : 254,303,885,542 = 254,303,885,542 : x
  2. Step 2: Convert to fraction form
    117,165,103,495/254,303,885,542 = 254,303,885,542/x
  3. Step 3: Cross multiply
    117,165,103,495x = 254,303,885,542 × 254,303,885,542
  4. Step 4: Simplify right side
    117,165,103,495x = 64,670,466,201,758,638,014,464
  5. Step 5: Solve for x
    x = 64,670,466,201,758,638,014,464/117,165,103,495
  6. Step 6: Final answer
    x = 551,960,133,799.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.