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Finding the Third Proportional to 159,721,850 and 343,653,796

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Solution

The third proportional to 159,721,850 and 343,653,796 is: 739,397,468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,721,850 : 343,653,796 = 343,653,796 : x
  2. Step 2: Convert to fraction form
    159,721,850/343,653,796 = 343,653,796/x
  3. Step 3: Cross multiply
    159,721,850x = 343,653,796 × 343,653,796
  4. Step 4: Simplify right side
    159,721,850x = 118,097,931,505,209,616
  5. Step 5: Solve for x
    x = 118,097,931,505,209,616/159,721,850
  6. Step 6: Final answer
    x = 739,397,468.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.