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Finding the Third Proportional to 67,132,434 and 103,664,224

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Solution

The third proportional to 67,132,434 and 103,664,224 is: 160,075,699.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,434 : 103,664,224 = 103,664,224 : x
  2. Step 2: Convert to fraction form
    67,132,434/103,664,224 = 103,664,224/x
  3. Step 3: Cross multiply
    67,132,434x = 103,664,224 × 103,664,224
  4. Step 4: Simplify right side
    67,132,434x = 10,746,271,337,522,176
  5. Step 5: Solve for x
    x = 10,746,271,337,522,176/67,132,434
  6. Step 6: Final answer
    x = 160,075,699.59

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.