Home / 259,019,577.56-398,533,587.12

Finding the Third Proportional to 259,019,577.56 and 398,533,587.12

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Solution

The third proportional to 259,019,577.56 and 398,533,587.12 is: 613,193,109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,019,577.56 : 398,533,587.12 = 398,533,587.12 : x
  2. Step 2: Convert to fraction form
    259,019,577.56/398,533,587.12 = 398,533,587.12/x
  3. Step 3: Cross multiply
    259,019,577.56x = 398,533,587.12 × 398,533,587.12
  4. Step 4: Simplify right side
    259,019,577.56x = 158,829,020,060,486,880
  5. Step 5: Solve for x
    x = 158,829,020,060,486,880/259,019,577.56
  6. Step 6: Final answer
    x = 613,193,109.01

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.