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Finding the Third Proportional to 77,099,218,402 and 169,092,203,690

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Solution

The third proportional to 77,099,218,402 and 169,092,203,690 is: 370,849,068,788.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,099,218,402 : 169,092,203,690 = 169,092,203,690 : x
  2. Step 2: Convert to fraction form
    77,099,218,402/169,092,203,690 = 169,092,203,690/x
  3. Step 3: Cross multiply
    77,099,218,402x = 169,092,203,690 × 169,092,203,690
  4. Step 4: Simplify right side
    77,099,218,402x = 28,592,173,348,740,449,435,648
  5. Step 5: Solve for x
    x = 28,592,173,348,740,449,435,648/77,099,218,402
  6. Step 6: Final answer
    x = 370,849,068,788.99

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.