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Finding the Third Proportional to 103,536,852 and 164,827,315

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Solution

The third proportional to 103,536,852 and 164,827,315 is: 262,399,747.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,536,852 : 164,827,315 = 164,827,315 : x
  2. Step 2: Convert to fraction form
    103,536,852/164,827,315 = 164,827,315/x
  3. Step 3: Cross multiply
    103,536,852x = 164,827,315 × 164,827,315
  4. Step 4: Simplify right side
    103,536,852x = 27,168,043,770,109,224
  5. Step 5: Solve for x
    x = 27,168,043,770,109,224/103,536,852
  6. Step 6: Final answer
    x = 262,399,747.00

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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.