Home / 147,113,202.38-312,158,847.94

Finding the Third Proportional to 147,113,202.38 and 312,158,847.94

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Solution

The third proportional to 147,113,202.38 and 312,158,847.94 is: 662,368,467.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,113,202.38 : 312,158,847.94 = 312,158,847.94 : x
  2. Step 2: Convert to fraction form
    147,113,202.38/312,158,847.94 = 312,158,847.94/x
  3. Step 3: Cross multiply
    147,113,202.38x = 312,158,847.94 × 312,158,847.94
  4. Step 4: Simplify right side
    147,113,202.38x = 97,443,146,345,667,248
  5. Step 5: Solve for x
    x = 97,443,146,345,667,248/147,113,202.38
  6. Step 6: Final answer
    x = 662,368,467.09

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.