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Finding the Third Proportional to 105,584,225.20 and 154,596,586.71

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Solution

The third proportional to 105,584,225.20 and 154,596,586.71 is: 226,360,562.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,584,225.20 : 154,596,586.71 = 154,596,586.71 : x
  2. Step 2: Convert to fraction form
    105,584,225.20/154,596,586.71 = 154,596,586.71/x
  3. Step 3: Cross multiply
    105,584,225.20x = 154,596,586.71 × 154,596,586.71
  4. Step 4: Simplify right side
    105,584,225.20x = 23,900,104,622,670,096
  5. Step 5: Solve for x
    x = 23,900,104,622,670,096/105,584,225.20
  6. Step 6: Final answer
    x = 226,360,562.64

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.