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Finding the Third Proportional to 163,286,306,602.88 and 227,036,557,526.06

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Solution

The third proportional to 163,286,306,602.88 and 227,036,557,526.06 is: 315,676,185,748.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,286,306,602.88 : 227,036,557,526.06 = 227,036,557,526.06 : x
  2. Step 2: Convert to fraction form
    163,286,306,602.88/227,036,557,526.06 = 227,036,557,526.06/x
  3. Step 3: Cross multiply
    163,286,306,602.88x = 227,036,557,526.06 × 227,036,557,526.06
  4. Step 4: Simplify right side
    163,286,306,602.88x = 51,545,598,453,283,953,836,032
  5. Step 5: Solve for x
    x = 51,545,598,453,283,953,836,032/163,286,306,602.88
  6. Step 6: Final answer
    x = 315,676,185,748.05

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.