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Finding the Third Proportional to 53,095,722.75 and 115,842,676.50

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Solution

The third proportional to 53,095,722.75 and 115,842,676.50 is: 252,742,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095,722.75 : 115,842,676.50 = 115,842,676.50 : x
  2. Step 2: Convert to fraction form
    53,095,722.75/115,842,676.50 = 115,842,676.50/x
  3. Step 3: Cross multiply
    53,095,722.75x = 115,842,676.50 × 115,842,676.50
  4. Step 4: Simplify right side
    53,095,722.75x = 13,419,525,698,683,652
  5. Step 5: Solve for x
    x = 13,419,525,698,683,652/53,095,722.75
  6. Step 6: Final answer
    x = 252,742,123.16

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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.