Home / 231,022,265,074.32-493,837,899,395.04

Finding the Third Proportional to 231,022,265,074.32 and 493,837,899,395.04

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Solution

The third proportional to 231,022,265,074.32 and 493,837,899,395.04 is: 1,055,637,952,473.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,022,265,074.32 : 493,837,899,395.04 = 493,837,899,395.04 : x
  2. Step 2: Convert to fraction form
    231,022,265,074.32/493,837,899,395.04 = 493,837,899,395.04/x
  3. Step 3: Cross multiply
    231,022,265,074.32x = 493,837,899,395.04 × 493,837,899,395.04
  4. Step 4: Simplify right side
    231,022,265,074.32x = 243,875,870,878,905,611,059,200
  5. Step 5: Solve for x
    x = 243,875,870,878,905,611,059,200/231,022,265,074.32
  6. Step 6: Final answer
    x = 1,055,637,952,473.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.