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Finding the Third Proportional to 67,132,429 and 103,664,215

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Solution

The third proportional to 67,132,429 and 103,664,215 is: 160,075,683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,132,429 : 103,664,215 = 103,664,215 : x
  2. Step 2: Convert to fraction form
    67,132,429/103,664,215 = 103,664,215/x
  3. Step 3: Cross multiply
    67,132,429x = 103,664,215 × 103,664,215
  4. Step 4: Simplify right side
    67,132,429x = 10,746,269,471,566,224
  5. Step 5: Solve for x
    x = 10,746,269,471,566,224/67,132,429
  6. Step 6: Final answer
    x = 160,075,683.71

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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.