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Finding the Third Proportional to 50,996,605,090.50 and 109,157,021,070.75

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Solution

The third proportional to 50,996,605,090.50 and 109,157,021,070.75 is: 233,648,009,076.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,996,605,090.50 : 109,157,021,070.75 = 109,157,021,070.75 : x
  2. Step 2: Convert to fraction form
    50,996,605,090.50/109,157,021,070.75 = 109,157,021,070.75/x
  3. Step 3: Cross multiply
    50,996,605,090.50x = 109,157,021,070.75 × 109,157,021,070.75
  4. Step 4: Simplify right side
    50,996,605,090.50x = 11,915,255,249,040,159,277,056
  5. Step 5: Solve for x
    x = 11,915,255,249,040,159,277,056/50,996,605,090.50
  6. Step 6: Final answer
    x = 233,648,009,076.19

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.