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Finding the Third Proportional to 105,690,306 and 148,836,114

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Solution

The third proportional to 105,690,306 and 148,836,114 is: 209,595,275.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,690,306 : 148,836,114 = 148,836,114 : x
  2. Step 2: Convert to fraction form
    105,690,306/148,836,114 = 148,836,114/x
  3. Step 3: Cross multiply
    105,690,306x = 148,836,114 × 148,836,114
  4. Step 4: Simplify right side
    105,690,306x = 22,152,188,830,620,996
  5. Step 5: Solve for x
    x = 22,152,188,830,620,996/105,690,306
  6. Step 6: Final answer
    x = 209,595,275.75

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.