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Finding the Third Proportional to 161,774,559,264 and 351,706,845,264

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Solution

The third proportional to 161,774,559,264 and 351,706,845,264 is: 764,630,146,843.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,774,559,264 : 351,706,845,264 = 351,706,845,264 : x
  2. Step 2: Convert to fraction form
    161,774,559,264/351,706,845,264 = 351,706,845,264/x
  3. Step 3: Cross multiply
    161,774,559,264x = 351,706,845,264 × 351,706,845,264
  4. Step 4: Simplify right side
    161,774,559,264x = 123,697,705,005,555,241,713,664
  5. Step 5: Solve for x
    x = 123,697,705,005,555,241,713,664/161,774,559,264
  6. Step 6: Final answer
    x = 764,630,146,843.38

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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.