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Finding the Third Proportional to 52,932,459 and 114,658,614

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Solution

The third proportional to 52,932,459 and 114,658,614 is: 248,365,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,932,459 : 114,658,614 = 114,658,614 : x
  2. Step 2: Convert to fraction form
    52,932,459/114,658,614 = 114,658,614/x
  3. Step 3: Cross multiply
    52,932,459x = 114,658,614 × 114,658,614
  4. Step 4: Simplify right side
    52,932,459x = 13,146,597,764,400,996
  5. Step 5: Solve for x
    x = 13,146,597,764,400,996/52,932,459
  6. Step 6: Final answer
    x = 248,365,521.13

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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.