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Finding the Third Proportional to 99,126,314 and 214,724,356

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Solution

The third proportional to 99,126,314 and 214,724,356 is: 465,129,259.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126,314 : 214,724,356 = 214,724,356 : x
  2. Step 2: Convert to fraction form
    99,126,314/214,724,356 = 214,724,356/x
  3. Step 3: Cross multiply
    99,126,314x = 214,724,356 × 214,724,356
  4. Step 4: Simplify right side
    99,126,314x = 46,106,549,059,614,736
  5. Step 5: Solve for x
    x = 46,106,549,059,614,736/99,126,314
  6. Step 6: Final answer
    x = 465,129,259.82

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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.