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Finding the Third Proportional to 107,947,086 and 165,818,553

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Solution

The third proportional to 107,947,086 and 165,818,553 is: 254,715,467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,947,086 : 165,818,553 = 165,818,553 : x
  2. Step 2: Convert to fraction form
    107,947,086/165,818,553 = 165,818,553/x
  3. Step 3: Cross multiply
    107,947,086x = 165,818,553 × 165,818,553
  4. Step 4: Simplify right side
    107,947,086x = 27,495,792,519,013,808
  5. Step 5: Solve for x
    x = 27,495,792,519,013,808/107,947,086
  6. Step 6: Final answer
    x = 254,715,467.90

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.