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Finding the Third Proportional to 108,123,345 and 223,911,711

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Solution

The third proportional to 108,123,345 and 223,911,711 is: 463,696,848.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,123,345 : 223,911,711 = 223,911,711 : x
  2. Step 2: Convert to fraction form
    108,123,345/223,911,711 = 223,911,711/x
  3. Step 3: Cross multiply
    108,123,345x = 223,911,711 × 223,911,711
  4. Step 4: Simplify right side
    108,123,345x = 50,136,454,322,947,520
  5. Step 5: Solve for x
    x = 50,136,454,322,947,520/108,123,345
  6. Step 6: Final answer
    x = 463,696,848.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.