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Finding the Third Proportional to 53,830,848 and 116,747,952

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Solution

The third proportional to 53,830,848 and 116,747,952 is: 253,202,109.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,830,848 : 116,747,952 = 116,747,952 : x
  2. Step 2: Convert to fraction form
    53,830,848/116,747,952 = 116,747,952/x
  3. Step 3: Cross multiply
    53,830,848x = 116,747,952 × 116,747,952
  4. Step 4: Simplify right side
    53,830,848x = 13,630,084,296,194,304
  5. Step 5: Solve for x
    x = 13,630,084,296,194,304/53,830,848
  6. Step 6: Final answer
    x = 253,202,109.99

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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.