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Finding the Third Proportional to 161,774,559,266 and 351,706,845,268

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Solution

The third proportional to 161,774,559,266 and 351,706,845,268 is: 764,630,146,851.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,774,559,266 : 351,706,845,268 = 351,706,845,268 : x
  2. Step 2: Convert to fraction form
    161,774,559,266/351,706,845,268 = 351,706,845,268/x
  3. Step 3: Cross multiply
    161,774,559,266x = 351,706,845,268 × 351,706,845,268
  4. Step 4: Simplify right side
    161,774,559,266x = 123,697,705,008,368,898,277,376
  5. Step 5: Solve for x
    x = 123,697,705,008,368,898,277,376/161,774,559,266
  6. Step 6: Final answer
    x = 764,630,146,851.32

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.