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Finding the Third Proportional to 146,977,538 and 343,296,709

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Solution

The third proportional to 146,977,538 and 343,296,709 is: 801,841,097.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,977,538 : 343,296,709 = 343,296,709 : x
  2. Step 2: Convert to fraction form
    146,977,538/343,296,709 = 343,296,709/x
  3. Step 3: Cross multiply
    146,977,538x = 343,296,709 × 343,296,709
  4. Step 4: Simplify right side
    146,977,538x = 117,852,630,410,230,688
  5. Step 5: Solve for x
    x = 117,852,630,410,230,688/146,977,538
  6. Step 6: Final answer
    x = 801,841,097.72

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.