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Finding the Third Proportional to 130,225,696 and 201,550,722

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Solution

The third proportional to 130,225,696 and 201,550,722 is: 311,940,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,225,696 : 201,550,722 = 201,550,722 : x
  2. Step 2: Convert to fraction form
    130,225,696/201,550,722 = 201,550,722/x
  3. Step 3: Cross multiply
    130,225,696x = 201,550,722 × 201,550,722
  4. Step 4: Simplify right side
    130,225,696x = 40,622,693,538,721,280
  5. Step 5: Solve for x
    x = 40,622,693,538,721,280/130,225,696
  6. Step 6: Final answer
    x = 311,940,690.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.