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Finding the Third Proportional to 68,941,184 and 106,895,680

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Solution

The third proportional to 68,941,184 and 106,895,680 is: 165,745,433.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,941,184 : 106,895,680 = 106,895,680 : x
  2. Step 2: Convert to fraction form
    68,941,184/106,895,680 = 106,895,680/x
  3. Step 3: Cross multiply
    68,941,184x = 106,895,680 × 106,895,680
  4. Step 4: Simplify right side
    68,941,184x = 11,426,686,402,662,400
  5. Step 5: Solve for x
    x = 11,426,686,402,662,400/68,941,184
  6. Step 6: Final answer
    x = 165,745,433.13

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.