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Finding the Third Proportional to 160,034,202 and 343,925,172

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Solution

The third proportional to 160,034,202 and 343,925,172 is: 739,120,278.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,034,202 : 343,925,172 = 343,925,172 : x
  2. Step 2: Convert to fraction form
    160,034,202/343,925,172 = 343,925,172/x
  3. Step 3: Cross multiply
    160,034,202x = 343,925,172 × 343,925,172
  4. Step 4: Simplify right side
    160,034,202x = 118,284,523,935,229,584
  5. Step 5: Solve for x
    x = 118,284,523,935,229,584/160,034,202
  6. Step 6: Final answer
    x = 739,120,278.40

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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.