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Finding the Third Proportional to 99,134,942 and 215,907,292

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Solution

The third proportional to 99,134,942 and 215,907,292 is: 470,227,326.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,134,942 : 215,907,292 = 215,907,292 : x
  2. Step 2: Convert to fraction form
    99,134,942/215,907,292 = 215,907,292/x
  3. Step 3: Cross multiply
    99,134,942x = 215,907,292 × 215,907,292
  4. Step 4: Simplify right side
    99,134,942x = 46,615,958,738,773,264
  5. Step 5: Solve for x
    x = 46,615,958,738,773,264/99,134,942
  6. Step 6: Final answer
    x = 470,227,326.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.