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Finding the Third Proportional to 65,420,106 and 142,722,904.50

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Solution

The third proportional to 65,420,106 and 142,722,904.50 is: 311,369,527.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,420,106 : 142,722,904.50 = 142,722,904.50 : x
  2. Step 2: Convert to fraction form
    65,420,106/142,722,904.50 = 142,722,904.50/x
  3. Step 3: Cross multiply
    65,420,106x = 142,722,904.50 × 142,722,904.50
  4. Step 4: Simplify right side
    65,420,106x = 20,369,827,468,916,120
  5. Step 5: Solve for x
    x = 20,369,827,468,916,120/65,420,106
  6. Step 6: Final answer
    x = 311,369,527.11

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.