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Finding the Third Proportional to 99,126,308 and 214,724,350

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Solution

The third proportional to 99,126,308 and 214,724,350 is: 465,129,261.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126,308 : 214,724,350 = 214,724,350 : x
  2. Step 2: Convert to fraction form
    99,126,308/214,724,350 = 214,724,350/x
  3. Step 3: Cross multiply
    99,126,308x = 214,724,350 × 214,724,350
  4. Step 4: Simplify right side
    99,126,308x = 46,106,546,482,922,496
  5. Step 5: Solve for x
    x = 46,106,546,482,922,496/99,126,308
  6. Step 6: Final answer
    x = 465,129,261.98

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.