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Finding the Third Proportional to 138,854,231,047.12 and 212,431,426,623

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Solution

The third proportional to 138,854,231,047.12 and 212,431,426,623 is: 324,996,297,748.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,854,231,047.12 : 212,431,426,623 = 212,431,426,623 : x
  2. Step 2: Convert to fraction form
    138,854,231,047.12/212,431,426,623 = 212,431,426,623/x
  3. Step 3: Cross multiply
    138,854,231,047.12x = 212,431,426,623 × 212,431,426,623
  4. Step 4: Simplify right side
    138,854,231,047.12x = 45,127,111,017,083,034,402,816
  5. Step 5: Solve for x
    x = 45,127,111,017,083,034,402,816/138,854,231,047.12
  6. Step 6: Final answer
    x = 324,996,297,748.89

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.