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Finding the Third Proportional to 75,416,490 and 161,994,120

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Solution

The third proportional to 75,416,490 and 161,994,120 is: 347,962,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,416,490 : 161,994,120 = 161,994,120 : x
  2. Step 2: Convert to fraction form
    75,416,490/161,994,120 = 161,994,120/x
  3. Step 3: Cross multiply
    75,416,490x = 161,994,120 × 161,994,120
  4. Step 4: Simplify right side
    75,416,490x = 26,242,094,914,574,400
  5. Step 5: Solve for x
    x = 26,242,094,914,574,400/75,416,490
  6. Step 6: Final answer
    x = 347,962,294.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.