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Finding the Third Proportional to 48,200,212 and 105,953,240

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Solution

The third proportional to 48,200,212 and 105,953,240 is: 232,905,387.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,200,212 : 105,953,240 = 105,953,240 : x
  2. Step 2: Convert to fraction form
    48,200,212/105,953,240 = 105,953,240/x
  3. Step 3: Cross multiply
    48,200,212x = 105,953,240 × 105,953,240
  4. Step 4: Simplify right side
    48,200,212x = 11,226,089,066,497,600
  5. Step 5: Solve for x
    x = 11,226,089,066,497,600/48,200,212
  6. Step 6: Final answer
    x = 232,905,387.77

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.