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Finding the Third Proportional to 159,734,790 and 228,264,711

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Solution

The third proportional to 159,734,790 and 228,264,711 is: 326,195,553.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,734,790 : 228,264,711 = 228,264,711 : x
  2. Step 2: Convert to fraction form
    159,734,790/228,264,711 = 228,264,711/x
  3. Step 3: Cross multiply
    159,734,790x = 228,264,711 × 228,264,711
  4. Step 4: Simplify right side
    159,734,790x = 52,104,778,287,913,520
  5. Step 5: Solve for x
    x = 52,104,778,287,913,520/159,734,790
  6. Step 6: Final answer
    x = 326,195,553.82

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.