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Finding the Third Proportional to 99,535,257 and 142,335,589.50

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Solution

The third proportional to 99,535,257 and 142,335,589.50 is: 203,540,138.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,535,257 : 142,335,589.50 = 142,335,589.50 : x
  2. Step 2: Convert to fraction form
    99,535,257/142,335,589.50 = 142,335,589.50/x
  3. Step 3: Cross multiply
    99,535,257x = 142,335,589.50 × 142,335,589.50
  4. Step 4: Simplify right side
    99,535,257x = 20,259,420,038,312,512
  5. Step 5: Solve for x
    x = 20,259,420,038,312,512/99,535,257
  6. Step 6: Final answer
    x = 203,540,138.93

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.