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Finding the Third Proportional to 52,052,791 and 114,319,207

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Solution

The third proportional to 52,052,791 and 114,319,207 is: 251,069,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052,791 : 114,319,207 = 114,319,207 : x
  2. Step 2: Convert to fraction form
    52,052,791/114,319,207 = 114,319,207/x
  3. Step 3: Cross multiply
    52,052,791x = 114,319,207 × 114,319,207
  4. Step 4: Simplify right side
    52,052,791x = 13,068,881,089,108,848
  5. Step 5: Solve for x
    x = 13,068,881,089,108,848/52,052,791
  6. Step 6: Final answer
    x = 251,069,747.42

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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.