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Finding the Third Proportional to 117,165,103,506 and 254,303,885,562

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Solution

The third proportional to 117,165,103,506 and 254,303,885,562 is: 551,960,133,834.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,165,103,506 : 254,303,885,562 = 254,303,885,562 : x
  2. Step 2: Convert to fraction form
    117,165,103,506/254,303,885,562 = 254,303,885,562/x
  3. Step 3: Cross multiply
    117,165,103,506x = 254,303,885,562 × 254,303,885,562
  4. Step 4: Simplify right side
    117,165,103,506x = 64,670,466,211,930,789,904,384
  5. Step 5: Solve for x
    x = 64,670,466,211,930,789,904,384/117,165,103,506
  6. Step 6: Final answer
    x = 551,960,133,834.72

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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.