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Finding the Third Proportional to 103,536,854 and 164,827,318

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Solution

The third proportional to 103,536,854 and 164,827,318 is: 262,399,751.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,536,854 : 164,827,318 = 164,827,318 : x
  2. Step 2: Convert to fraction form
    103,536,854/164,827,318 = 164,827,318/x
  3. Step 3: Cross multiply
    103,536,854x = 164,827,318 × 164,827,318
  4. Step 4: Simplify right side
    103,536,854x = 27,168,044,759,073,124
  5. Step 5: Solve for x
    x = 27,168,044,759,073,124/103,536,854
  6. Step 6: Final answer
    x = 262,399,751.48

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.